What is the solution to this system of equations?
4x+6y=7
3x - 2y = -12
Multiply each equation by a number that produces opposite
coefficients for x or y.
The solution is

The solution is

Solution:

Given system of equations are:

4x + 6y = 7 --------- eqn 1

3x - 2y = -12 -------- eqn 2

Let us solve the system of equations by elimination method

Multiply eqn 2 by 3

9x - 6y = -36 ----- eqn 3

Add eqn 1 and eqn 3

4x + 6y = 7

9x - 6y = -36

( + ) --------------

13x = -29

Substitute in eqn 1

Thus the solution is

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

step-by-step explanation:

what is the figure? attach a picture.