{3x+y=-9
{-3x+-2y=12
What is the y-value of the solution to this system of equations?
A. -7
B. -3
C. -2
D. -1
I tried them all and I must have did something wrong because none of them worked. Help please!! Thanks.
must have done
since 3x+y = -9,
-3x = y+9
using that, we have
(y+9)-2y = 12
-y = 3
y = -3
It would have helped had you shown your work.
My work is on a piece of paper. Kinda hard to show that.
To find the y-value of the solution to this system of equations, we need to solve the system by using one of the methods: substitution, elimination, or graphing. Let's use the method of elimination to solve this system.
Given equations:
1. 3x + y = -9
2. -3x - 2y = 12
To use the elimination method, we want to eliminate one variable by manipulating the equations. Let's multiply Equation 1 by 2 and Equation 2 by -1 to create opposite coefficients for the x-term:
1. (2)(3x + y) = (2)(-9) --> 6x + 2y = -18
2. (-1)(-3x - 2y) = (-1)(12) --> 3x + 2y = -12
Now we can add the two equations together:
(6x + 2y) + (3x + 2y) = -18 + (-12)
9x + 4y = -30
To solve for y, we isolate the y-term:
4y = -9x - 30
y = (-9x - 30) / 4
Now we have the equation for y in terms of x. To find a specific value for y, we need to substitute x with a value. However, the problem does not provide a specific value for x. Therefore, we cannot find a single y-value for the solution to this system of equations.
So, the correct answer is E. None of the provided options (-7, -3, -2, -1) is the y-value of the solution to this system of equations.