SOLUTION: Megan’s verbal and math scores on the SAT was 1094. Her math score was 248 points higher than her verbal score. What were her math and verbal SAT scores?

Algebra ->  Linear-equations -> SOLUTION: Megan’s verbal and math scores on the SAT was 1094. Her math score was 248 points higher than her verbal score. What were her math and verbal SAT scores?       Log On


   

Question 145603: Megan’s verbal and math scores
on the SAT was 1094. Her math
score was 248 points higher
than her verbal score. What were
her math and verbal SAT scores?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=verbal score and y=math score

"Megan’s verbal and math scores on the SAT was 1094" translates to x%2By=1094

"Her math score was 248 points higher than her verbal score" translates to y=x%2B248


Start with the given system
x%2By=1094
y=x%2B248



x%2B%28x%2B248%29=1094 Plug in y=x%2B248 into the first equation. In other words, replace each y with x%2B248. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


2x%2B248=1094 Combine like terms on the left side


2x=1094-248Subtract 248 from both sides


2x=846 Combine like terms on the right side


x=%28846%29%2F%282%29 Divide both sides by 2 to isolate x



x=423 Divide




Now that we know that x=423, we can plug this into y=x%2B248 to find y



y=%28423%29%2B248 Substitute 423 for each x


y=671 Simplify


So our answers are x=423 and y=671



So the verbal score was 423 and the math score was 671.