Answer:
(-1, -2)
Step-by-step explanation:
Since the question requires the use of substitution, that's how I will go about this.
Logically, since we know what x equals, with respect to y, we can plug that into the other equation for x, making our equation only have y, therefore, we can solve for one variable at a time, and then use that y value to solve for x
2x + 3y = -8
In this case we are told that x = 4y + 7, therefore that's what we substitute in.
2(4y + 7) + 3y = -8
8y + 14 + 3y = -8
11y +14 = -8
11y = -22
y = -2
Now, since we know y's exact value, we can use that and solve for x in the other equation.
x = 4(-2) + 7
x = -8 + 7
x = -1
Therefore, your final answer is
(-1, -2)
