What is the solution of the system? use substitution . 4x+2y=10, y=-3x+6
6 answers
4x+2(-3x+6)=10
I don't understand??
Since y is the equation -3x+6 you plug in the second equation into the fist equation
for y.
for y.
You then multiply the equation in the parentheses by 2 and combine like variables
That don't match any answer choices i have.
Eq1: 4x + 2y = 10.
Eq2: Y = -3x + 6.
In Eq1, replace y with -3x+6 and solve for x:
4x + 2(-3x+6) = 10.
4x - 6x + 12 = 10.
-2x = -2.
X = 1.
In Eq2, replace x with 1 and solve for y:
Y = -3*1 + 6 = 3.
Solution: (1,3).
Eq2: Y = -3x + 6.
In Eq1, replace y with -3x+6 and solve for x:
4x + 2(-3x+6) = 10.
4x - 6x + 12 = 10.
-2x = -2.
X = 1.
In Eq2, replace x with 1 and solve for y:
Y = -3*1 + 6 = 3.
Solution: (1,3).