Question 18 Solve simultaneously x + y = 6 6x - 5y = 14
2 answers:
Answer:
Step-by-step explanation:
<u>Given system:</u>
<u>Solve by elimination, multiply the first equation by 5 and add up equations:</u>
5x + 5y + 6x - 5y = 5*6 + 14 11x = 44 x = 4 <u>Find y:</u>
Answer:
x = 4
y = 2
Step-by-step explanation:
Rewrite x + y = 6 to make y the subject:
⇒ y = 6 - x
Substitute y = 6 - x into 6x - 5y = 14 and solve for x:
⇒ 6x - 5(6 - x) = 14
⇒ 6x - 30 + 5x = 14
⇒ 11x - 30 = 14
⇒ 11x = 44
⇒ x = 4
Substitute x = 4 into x + y = 6 and solve for y:
⇒ 4 + y = 6
⇒ y = 2
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Step-by-step explanation:
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