Answer:
x=−3 and y=26
Explanation:
Let's solve your system by substitution.
3x+y=17;x+2y=49
Step: Solve 3x+y=17 for y:
3x+y=17
3x+y+−3x=17+−3x(Add -3x to both sides)
y=−3x+17
Step: Substitute−3x+17 for y in x+2y=49:
x+2y=49
x+2(−3x+17)=49
−5x+34=49(Simplify both sides of the equation)
−5x+34+−34=49+−34(Add -34 to both sides)
−5x=15
-5x/5 = 15/-5 (Divide both sides by -5)
x=−3
Step: Substitute −3 for x in y=−3x+17:
y=−3x+17
y=(−3)(−3)+17
y=26(Simplify both sides of the equation)
Answer:
x=−3 and y=26