Answer:

We are given two equations:

• 5x - 2y = 7.
• 4x + y = 16.​

We find the solution of x and y.

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1. Graphing.

Plot the lines. They meet at (3, 4)

So, (3, 4) is the solution to the equations.

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2. Elimination.

• 5x - 2y = 7. ____(1)
• 4x + y = 16.​ ____(2)

Multiply the second equation by 2, then add the equations together.

=> 2(4x+y=16)

=> 8x+2y=32 ___(3)

Add equation (3) and (1):

13x=39

x = 3.

Substitute 3 in any equation:

5x - 2y = 7

(5)(3)−2y=7

−2y+15=7(Simplify both sides of the equation)

−2y+15+−15=7+−15(Add -15 to both sides)

−2y=−8

y = 4.

So, (3, 4) is the solution to the equations.

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