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).