Question

Find the x-intercept of the graph of each equation a. 3x+2y=7. b. 2x+3y=7

Answer 1

Hello!

The x intercept is when the y value is 0

Put 0 in for y to get the x-intercepts
------------------------------------------------------------------------------------------------------
Part A

3x + 2y = 7

Put 0 in for y

3x + 2(0) = 7

Simplify

3x = 7

Divide both sides by 3

x = 2.333...

The x-intercept is at the point (2.333, 0)
------------------------------------------------------------------------------------------------------
Part B

2x + 3y = 7

Put 0 in for y

2x + 3(0) = 7

Simplify

2x = 7

Divide both sides by 2

x = 3.5

The x-intercept is at the point (3.5, 0)
------------------------------------------------------------------------------------------------------
Hope this helps!