Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.

Question

Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable. 
A student took out two loans totaling $10,000 to help pay for college expenses. One loan was at 8% simple interest, and the other was at 10%. After one year, the student owed $840 in interest. Find the amount of the loan at 10%.

Damon · Answer

x at .1 and y at .08 y = 10,000-x .1x + .08y = 840 so substitute .1x + .08 (10,000-x) = 840

Reiny · Answer

x + y = 10000 .1x + .08y = 840 suggestion: multiply the second by 100 then the first by 8 and subtract them

P.Smith · Answer

Thanks!! You are all the best.