How do you solve the following system of equations by eliminating the y-values? I've already solved it by eliminating the x-values so I know the answer is (-9/2, -10) but I'm having trouble getting that answer by eliminating the y-values.

Step-by-step explanation:

The coefficients of the y terms are -3 and 2.  The least common multiple of 3 and 2 is 6.  So multiply the first equation by 2 and the second equation by 3, so that the y terms have a coefficient of 6.

4x − 6y = 42

-18x + 6y = 21

The signs are opposite, so add the equations together.

-14x = 63

x = -9/2

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