Answer:
(2, -3)
Explanation:
You must choose from the 3 ways to solve the system of equations:
1. Substitution
2. Elimination
3. Graphing (least recommended)
My example is going to be substitution, as folllows:
2x - y = 7
(Add y to both sides)
2x = y + 7
(Subtract 7 from both sides)
y = 2x - 7
Now, we are able to use substitution in the next equation with the other equation!
3x + 4y = -6
(Replace y with what y equals -- other equation)
3x + 4(2x -7) = -6
(Simplify the parantheses)
3x + 8x - 28 = -6
(Add 28 to both sides)
3x + 8x = -6 +28
3x + 8x = 22
(CLT - Combine like terms)
11x = 22
(Divide 11 from both sides)
x = 2
Now, we will find what y is by plugging x into the other equation.
y = 2x - 7
x = 2
y = 2(2) - 7
y = 4 - 7
y = -3
y = -3
x = 2
Since we found both of the variables' values, we found our coordinate pairs to solve this equation!
Answer: (2, -3)