2 years ago

What is the solution to this system of equations 5x+2y=29 X+4y=13

Mathematics

1 answer:

sp2606 [1]2 years ago

3 0

Answer:

(5, 2 )

Step-by-step explanation:

5x + 2y = 29 → (1)

x + 4y = 13 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate y

- 10x - 4y = - 58 → (3)

add (2) and (3) term by term to eliminate y

- 9x + 0 = - 45

- 9x = - 45 ( divide both sides by - 9 )

x = 5

substitute x = 5 into either of the 2 equations and solve for y

substituting into (2)

5 + 4y = 13 ( subtract 5 from both sides )

4y = 8 ( divide both sides by 4 )

y = 2

solution is (5, 2 )

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