Answer:
It's long but you use Substitution!
Step-by-step explanation:
Let's solve your system by substitution.
2x+3y=3750;4x+y=4250
Rewrite equations:
4x+y=4250;2x+3y=3750
Step: Solve 4x+y=4250 for y:
4x+y = 4250
4x+y+−4x = 4250+−4x (Add -4x to both sides)
y = −4x+4250
Step: Substitute −4x+4250 for y in 2x+3y = 3750:
2x+3y=3750
2x+3(−4x+4250)=3750
−10x+12750=3750 (Simplify both sides of the equation)
−10x+12750+−12750=3750+−12750 (Add -12750 to both sides)
−10x =−9000
−10x =
−9000 (Divide both sides by -10)
−10 −10
x=900
Step: Substitute 900 for x in y = −4x+4250:
y=−4x+4250
y=(−4)(900)+4250
y=650 (Simplify both sides of the equation)
Answer:
x=900 and y=650
