Question

(3) Explain how you can tell that the point (5, 13) is a solution to the system shown
without formally solving the system.
y = 4x - 7
2x + y = 23

Answer 1

The point (5, 13) is a solution to the system

The system of equations is given as:

$y = 4x - 7$

$2x + y = 23$

The solution is given as: (5,13)

To determine if the coordinate point is a solution of the system of equations, we have to substitute the x and y values in the equations.

So, we have:

$y = 4x - 7$

$13 = 4 \times 5 - 7$

$13 = 13$

$2x + y = 23$

$2 \times 5 + 13 = 23$

$10+ 13 = 23$

$23 = 23$

The above equations are true.

Hence, the point (5, 13) is a solution to the system

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