Given the system of equations. which of the options represents the resulting equation after an equivalent expression for y is substituted into the second equation. (see picture.) a) 2x - (4x + 3) = 12 b) -4x + 4x - 3 = 3 c) 2 (4x + 3) - y d) -4(4y + ) + y = 3

By using method of substitution we need to solve one equation for a variable and plug in that equation in the second equation.

Let's solve the first equation for y of the given system of equation.

So, -4x+y=3

4x-4x+y=4x+3 Add 4x to each sides of the equation.

y= 4x+3.

Next step is to plug in 4x+3 for y in the second equation. Hence, after substituting we will get:

2x-(4x+3)=12.

Hence the correct choice is A) 2x - (4x + 3) = 12.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is