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Determine whether the given ordered pair is a solution to the system of equations.

8x−y
=4

x+6y
=2

Ordered pair: (4,0)

Determine whether the given ordered pair is a solution to the system of equations-example-1

1 Answer

4 votes

Answer:

No, it is not a solution

Explanation:

To find if an ordered pair (x, y) is a solution to a system of equations in x and y,

plug in the given values for x and y into each equation and if these values satisfy both equations, then they are a solution

Given equations are:
8x - y = 4 ...........(1)
x + 6y = 2 .........(2)

Ordered pair: (4, 0)

Substitute x = 4, y = 0 in equation (1):
Left side: 8(4) - 0 = 32 - 0 = 32

Right side = 4

Left and right sides do not match

So (4, 0) is not a solution

We don't have to test the other equation; if any one equation is violated by the given ordered pair, then that pair cannot be a solution


User Mohammad Elsayed
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