Question

Please I need help on this I need HELP NOW

Answer 1

value of x = -2 and value of y = 6

The graph is shown in figure below.

The point of intersection is: (-2,6)

Step-by-step explanation:

We need to graph the system of linear equations.

Let:

$y-10=2x\,\,eq(1)\\x+2y=10\,\,eq(2)$

First we will find the values of x and y to plot it on the graph.

-2x+y=10

x+2y=10

Multiply eq(2) by 2 and add both equations:

$-2x+y=10\\2x+4y=20\\-------\\0+5y=30\\5y=30\\y=30/5\\y=6$

Putting value of y in eq(2)

$x+2y=10\\x+2(6)=10\\x+12=10\\x=10-12\\x=-2$

So, value of x = -2 and value of y = 6

Now plot on the graph x=-2 and y=6

The graph is shown in figure below.

The point of intersection is: (-2,6)

Verifying the solution:

Verify the solution by putting value of x and y in eq(1) or 2

$x+2y=10\\-2+2(6)=10\\-2+12=10\\10=10$

Keywords: System of equations

Learn more about system of equations at:

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