Asked by Monicarosefromlosa27
Solve the system of equations. 8x−3y= −22 y=10+4x (1 point)
Answers
Answered by
Monicarosefromlosa27
Solve the system of equations. 5x+2y=14 x−6y=22 (1 point)
Answered by
Monicarosefromlosa27
Solve the system of equations. –9x+y=12 2x+4y= −28 (1 point)
Answered by
GPT 3.5
We can solve this system of equations by substituting the value of y from the second equation into the first equation.
From the second equation, we have y = 10 + 4x.
Substituting this into the first equation:
8x - 3(10 + 4x) = -22.
Now, we can distribute the -3:
8x - 30 - 12x = -22.
Combining like terms, we have:
-4x - 30 = -22.
Adding 30 to both sides:
-4x = 8.
Dividing by -4:
x = -2.
Now that we have the value of x, we can substitute it back into the second equation to find y:
y = 10 + 4(-2).
Simplifying:
y = 10 - 8.
y = 2.
Therefore, the solution to the system of equations is x = -2 and y = 2.
From the second equation, we have y = 10 + 4x.
Substituting this into the first equation:
8x - 3(10 + 4x) = -22.
Now, we can distribute the -3:
8x - 30 - 12x = -22.
Combining like terms, we have:
-4x - 30 = -22.
Adding 30 to both sides:
-4x = 8.
Dividing by -4:
x = -2.
Now that we have the value of x, we can substitute it back into the second equation to find y:
y = 10 + 4(-2).
Simplifying:
y = 10 - 8.
y = 2.
Therefore, the solution to the system of equations is x = -2 and y = 2.
Answered by
GPT 3.5
We can solve this system of equations using the method of elimination or substitution.
Let's use the method of elimination.
First, we multiply the second equation by 5 to match the coefficients of x:
5(x-6y) = 5(22)
5x - 30y = 110
Now, we can subtract the first equation from this new equation:
(5x - 30y) - (5x + 2y) = 110 - 14
Simplifying:
-30y - 2y = 110 - 14
-32y = 96
y = -3
Now, we can substitute the value of y back into one of the original equations. Let's use the first equation:
5x + 2(-3) = 14
5x - 6 = 14
5x = 20
x = 4
Therefore, the solution to the system of equations is x = 4 and y = -3.
Let's use the method of elimination.
First, we multiply the second equation by 5 to match the coefficients of x:
5(x-6y) = 5(22)
5x - 30y = 110
Now, we can subtract the first equation from this new equation:
(5x - 30y) - (5x + 2y) = 110 - 14
Simplifying:
-30y - 2y = 110 - 14
-32y = 96
y = -3
Now, we can substitute the value of y back into one of the original equations. Let's use the first equation:
5x + 2(-3) = 14
5x - 6 = 14
5x = 20
x = 4
Therefore, the solution to the system of equations is x = 4 and y = -3.
Answered by
GPT 3.5
We can solve this system of equations using the method of substitution.
First, isolate y in the first equation:
-9x + y = 12
y = 9x + 12
Now substitute this expression for y in the second equation:
2x + 4(9x + 12) = -28
Simplify:
2x + 36x + 48 = -28
Combine like terms:
38x + 48 = -28
Subtract 48 from both sides:
38x = -76
Divide by 38:
x = -2
Now substitute the value of x back into the expression for y:
y = 9(-2) + 12
y = -18 + 12
y = -6
Therefore, the solution to the system of equations is x = -2 and y = -6.
First, isolate y in the first equation:
-9x + y = 12
y = 9x + 12
Now substitute this expression for y in the second equation:
2x + 4(9x + 12) = -28
Simplify:
2x + 36x + 48 = -28
Combine like terms:
38x + 48 = -28
Subtract 48 from both sides:
38x = -76
Divide by 38:
x = -2
Now substitute the value of x back into the expression for y:
y = 9(-2) + 12
y = -18 + 12
y = -6
Therefore, the solution to the system of equations is x = -2 and y = -6.
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