Question

Please solve the screenshot down below.

Answer 1

The solution is (4,10)

Option C is correct.

Step-by-step explanation:

We need to graph the system of equations.

The equations given are: $y=5x-10\\y=x+6$

We need to solve the equations to find value of x and y

We can solve these using substitution

Let:

$y=5x-10\,\,\,eq(1)\\y=x+6\,\,\,eq(2)$

Putting value of y from eq(2) into eq(1)

$x+6=5x-10\\Simplifying:\\x-5x=-10-6\\-4x=-16\\x=-16/-4\\x=4$

So, value of x = 4

Now, Put value of x in eq(2)

$y=x+6\\y=4+6\\y=10$

So, Value of y = 10

The graph is shown in figure attached.

The solution is (4,10)

Option C is correct.

Keywords: System of equations

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