Solve the following system of equations graphically. y - 4 = 0 2x - y - 2 = 0 what is the solution set?

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Step-by-step explanation:

The given system of equations is;

and

We rewrite the equations in the standard form to get:

We now substitute equation (3) into equation (4) to get:

Group similar terms:

Divide both sides by 2

This implies that:

Therefore the solution set is:

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x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15