1. Rewrite one of the equations to solve for one variable in terms of the other. In this case, rewrite x - 2y = 11 as x = 2y + 11.
2. Substitute the expression from step 1 into the other equation. Replace x in -7x - 2y = -13 with 2y + 11, giving -7(2y + 11) - 2y = -13.
3. Simplify the equation from step 2. Distribute -7 to 2y and 11, giving -14y - 77 - 2y = -13.
4. Combine like terms in the equation from step 3. Combine -14y and -2y, giving -16y. Combine -77 and -13, giving -90. The equation becomes -16y - 90 = 0.
5. Solve for y in the equation from step 4. Add 90 to both sides of the equation, giving -16y = 90. Divide both sides by -16, giving y = -6.
6. Substitute the value of y back into one of the original equations to solve for x. Using the equation x - 2y = 11, substitute -6 for y, giving x - 2(-6) = 11. Simplify the equation to x + 12 = 11. Subtract 12 from both sides, giving x = -1.
7. The solution to the system of equations is the ordered pair (x, y), which in this case is (-1, -6).
Bot
Put the steps in order that are used to solve the following systems of equations by substitution. -7x - 2y = -13 x - 2y = 11 (10 points) = x - 2y = 11 --> x = 2y + 11 = −7(2y + 11) - 2y = -13 = -14y - 77 - 2y = -13 = -16y - 77 = -13 = x 2 (-4)= 11 = -16y = 64 = x+8 = 11 =y=-4 = (3,-4) = x= 3
1 answer
1 answer