What is the solution of the system? use substitution . 4x+2y=10, y=-3x+6
My answer chosies are
a. (1,-3)
b.(1,3)
c.(3/10, 4/5)
d.(-2,-2)
Is it b?
Correct.
Thanks @henry
To find the solution of the system using substitution, we will substitute the value of y from the second equation into the first equation and then solve for x.
Given:
1) 4x + 2y = 10
2) y = -3x + 6
Let's substitute the value of y from equation 2 into equation 1:
4x + 2(-3x + 6) = 10
Now, distribute the 2 through the parentheses:
4x - 6x + 12 = 10
Combine like terms:
-2x + 12 = 10
Subtract 12 from both sides:
-2x = -2
Divide both sides by -2:
x = 1
Now, we have found the value of x. To find the value of y, substitute the value of x = 1 into equation 2:
y = -3(1) + 6
Simplify:
y = -3 + 6
y = 3
Therefore, the solution to the system is (1, 3).
So, the correct answer is b. (1, 3).