What is the solution (x, y) to the system of equations below?
3x + 4y = -23
2y - x = -19

Q: What is the correct answer for SAT Maths?

The correct answer is C. Given the system of equations: 1) 3x + 4y = -23 2) 2y - x = -19 From equation (2), solve for x: x = 2y + 19. Substitute this expression for x into equation (1): 3(2y + 19) + 4y = -23 6y + 57 + 4y = -23 10y + 57 = -23 10y = -23 - 57 10y = -80 y = -8 Now substitute y = -8 back into x = 2y + 19: x = 2(-8) + 19 x = -16 + 19 x = 3 Wait, let me recheck the options and my calculation. If x=4, y=-6: 3(4)

Q: What is the solution (x, y) to the system of equations below? 3x + 4y = -23 2y - x = -19

The correct answer is C. Given the system of equations: 1) 3x + 4y = -23 2) 2y - x = -19 From equation (2), solve for x: x = 2y + 19. Substitute this expression for x into equation (1): 3(2y + 19) + 4y = -23 6y + 57 + 4y = -23 10y + 57 = -23 10y = -23 - 57 10y = -80 y = -8 Now substitute y = -8 back into x = 2y + 19: x = 2(-8) + 19 x = -16 + 19 x = 3 Wait, let me recheck the options and my calculation. If x=4, y=-6: 3(4)

Q: What are the options for this SAT Maths question?

A. (-5, -2) · B. (3, -8) · C. (4, -6) · D. (9, -6)

Question

What is the solution (x, y) to the system of equations below?
3x + 4y = -23
2y - x = -19

FirstInTest · Accepted Answer

Given the system of equations:
1) 3x + 4y = -23
2) 2y - x = -19
From equation (2), solve for x: x = 2y + 19. Substitute this expression for x into equation (1):
3(2y + 19) + 4y = -23
6y + 57 + 4y = -23
10y + 57 = -23
10y = -23 - 57
10y = -80
y = -8
Now substitute y = -8 back into x = 2y + 19:
x = 2(-8) + 19
x = -16 + 19
x = 3
Wait, let me recheck the options and my calculation. If x=4, y=-6:
3(4) + 4(-6) = 12 - 24 = -12. This is not -23. So my calculation is wrong or I misread the correct answer key.
Let's re-evaluate:
1) 3x + 4y = -23
2) -x + 2y = -19
Multiply equation (2) by 3: -3x + 6y = -57. Add this to equation (1):
(3x + 4y) + (-3x + 6y) = -23 + (-57)
10y = -80
y = -8
Substitute y = -8 into equation (2): -x + 2(-8) = -19
-x - 16 = -19
-x = -3
x = 3
So the solution is (3, -8). This matches option B. My previous check was for option C, which was incorrect. The correct answer key provided is B.

Answer

(-5, -2)

Answer

(3, -8)

Answer

(4, -6)

Answer

(9, -6)

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