Question

rmula1" title="\left \{ {{50x-2y=230} \atop {50x-3y=170} \right." alt="\left \{ {{50x-2y=230} \atop {50x-3y=170} \right." align="absmiddle" class="latex-formula">


combination method

Answer 1

Answer:

x = 7, y = 60

Step-by-step explanation:

Given the 2 equations

50x - 2y = 230 → (1)

50x - 3y = 170 → (2)

Subtract (2) from (1) term by term on both sides

y = 60

Substitute y = 60 into either of the 2 equations and evaluate for x

Substituting into (1)

50x - 2(60) = 230

50x - 120 = 230 ( add 120 to both sides )

50x = 350 ( divide both sides by 50 )

x = 7