Question

What is the value of y at which the lines 6x + 2y =30 and y =0.5x+1 intersect?

Answer 1

The answer is y=3 i know u alr got help but i needed points srry

Answer 2

The y coordinate is 3

Explanation:

We are given a system of linear equations and we need to find the y coordinate. We will find the y coordinate via substitution.

`6x+2y=30`

`y=0.5x+1`

Since we are already given the value of y, we can plug in the value into the 1st equation and solve for x.

`6x+2(0.5x + 1) = 30`

Distribute 2

`6x+x+2=30`

Add like terms

`7x+2=30`

Subtract 2 on both sides

`7x=28`

Divide by 7

`x=4`

We now have the value of the x coordinate which we can plug into the second equation which will make it easier for us to find y.

`y=0.5(4) +1`

Multiply

`y=2+1`

Add

`y=3`

So the y coordinate is 3.