Question
Put the steps in order that are used to solve the following systems of equations by substitution.
−7x−2y=−13 and x−2y=11
x-2y=11--> x=2y+11
-7(2y+11)-2y=13
-16y=64,(3,-4)
x=3, x-2(-4)=11
-16-77=-13
y=-4
x+8=11
-14y-77-2y=-13
−7x−2y=−13 and x−2y=11
x-2y=11--> x=2y+11
-7(2y+11)-2y=13
-16y=64,(3,-4)
x=3, x-2(-4)=11
-16-77=-13
y=-4
x+8=11
-14y-77-2y=-13
Answers
Answered by
GPT 3.5
1. Rearrange one of the equations to solve for one variable in terms of the other variable. In this case, we rearrange "x-2y=11" to obtain "x=2y+11."
2. Substitute the expression found in step 1 into the other equation. In this case, we substitute "2y+11" for "x" in "-7x-2y=-13" to obtain "-7(2y+11)-2y=-13."
3. Simplify and solve the resulting equation. In this case, we simplify "-7(2y+11)-2y=-13" to obtain "-16y=64," and then solve for "y" to obtain "y=-4."
4. Substitute the value found in step 3 into one of the original equations to solve for the other variable. In this case, we substitute "-4" for "y" in "x-2y=11" to obtain "x+8=11," and then solve for "x" to obtain "x=3."
5. Check the solution by substituting the values found in steps 3 and 4 back into both of the original equations. In this case, we substitute "3" and "-4" for "x" and "y" respectively in "-7x-2y=-13" and "x-2y=11" to ensure the equations are satisfied.
2. Substitute the expression found in step 1 into the other equation. In this case, we substitute "2y+11" for "x" in "-7x-2y=-13" to obtain "-7(2y+11)-2y=-13."
3. Simplify and solve the resulting equation. In this case, we simplify "-7(2y+11)-2y=-13" to obtain "-16y=64," and then solve for "y" to obtain "y=-4."
4. Substitute the value found in step 3 into one of the original equations to solve for the other variable. In this case, we substitute "-4" for "y" in "x-2y=11" to obtain "x+8=11," and then solve for "x" to obtain "x=3."
5. Check the solution by substituting the values found in steps 3 and 4 back into both of the original equations. In this case, we substitute "3" and "-4" for "x" and "y" respectively in "-7x-2y=-13" and "x-2y=11" to ensure the equations are satisfied.
Answer
list them in the correct order
Answered by
GPT 3.5
1. Begin by solving one equation for one variable in terms of the other variable.
2. Substitute the expression for x (from Step 1) into the other equation.
3. Simplify the equation by performing the necessary operations.
4. Solve the equation to find the value of y.
5. Substitute the value of y (found in Step 4) back into one of the original equations to find the value of x.
6. Verify the values of x and y by substituting them into the other equation.
2. Substitute the expression for x (from Step 1) into the other equation.
3. Simplify the equation by performing the necessary operations.
4. Solve the equation to find the value of y.
5. Substitute the value of y (found in Step 4) back into one of the original equations to find the value of x.
6. Verify the values of x and y by substituting them into the other equation.
Answered by
Latina baddie ✧
Put the steps in order that are used to solve the following systems of equations by substitution.
−7x−2y=−13 and x−2y=11
x-2y=11--> x=2y+11
-7(2y+11)-2y=13
-16y=64,(3,-4)
x=3, x-2(-4)=11
-16-77=-13
y=-4
x+8=11
-14y-77-2y=-13
−7x−2y=−13 and x−2y=11
x-2y=11--> x=2y+11
-7(2y+11)-2y=13
-16y=64,(3,-4)
x=3, x-2(-4)=11
-16-77=-13
y=-4
x+8=11
-14y-77-2y=-13
Answered by
GPT 3.5
1. Rearrange one of the equations to solve for one variable in terms of the other variable. In this case, we rearrange "x-2y=11" to obtain "x=2y+11."
2. Substitute the expression found in step 1 into the other equation. In this case, we substitute "2y+11" for "x" in "-7x-2y=-13" to obtain "-7(2y+11)-2y=-13."
3. Simplify and solve the resulting equation. In this case, we simplify "-7(2y+11)-2y=-13" to obtain "-16y=64," and then solve for "y" to obtain "y=-4."
4. Substitute the value found in step 3 into one of the original equations to solve for the other variable. In this case, we substitute "-4" for "y" in "x-2y=11" to obtain "x=2(-4)+11," which simplifies to "x=3."
5. Check the solution by substituting the values found in steps 3 and 4 back into both of the original equations. In this case, we substitute "3" and "-4" for "x" and "y," respectively, in "-7x-2y=-13" and "x-2y=11" to ensure the equations are satisfied.
The correct order of steps is:
1. Rearrange the equation x - 2y = 11 to solve for x in terms of y.
2. Substitute 2y + 11 for x in -7x - 2y = -13.
3. Simplify the equation -7(2y + 11) - 2y = -13.
4. Solve the resulting equation to find the value of y.
5. Substitute the value of y back into x - 2y = 11 to solve for x.
6. Check the solution by substituting the values of x and y into both original equations.
2. Substitute the expression found in step 1 into the other equation. In this case, we substitute "2y+11" for "x" in "-7x-2y=-13" to obtain "-7(2y+11)-2y=-13."
3. Simplify and solve the resulting equation. In this case, we simplify "-7(2y+11)-2y=-13" to obtain "-16y=64," and then solve for "y" to obtain "y=-4."
4. Substitute the value found in step 3 into one of the original equations to solve for the other variable. In this case, we substitute "-4" for "y" in "x-2y=11" to obtain "x=2(-4)+11," which simplifies to "x=3."
5. Check the solution by substituting the values found in steps 3 and 4 back into both of the original equations. In this case, we substitute "3" and "-4" for "x" and "y," respectively, in "-7x-2y=-13" and "x-2y=11" to ensure the equations are satisfied.
The correct order of steps is:
1. Rearrange the equation x - 2y = 11 to solve for x in terms of y.
2. Substitute 2y + 11 for x in -7x - 2y = -13.
3. Simplify the equation -7(2y + 11) - 2y = -13.
4. Solve the resulting equation to find the value of y.
5. Substitute the value of y back into x - 2y = 11 to solve for x.
6. Check the solution by substituting the values of x and y into both original equations.