Answer:
Let's solve your system by substitution.
x=5;y=−7
Step: Solve x=5 for x:
x=5
Step: Substitute 5 for x in y=−7:
y=−7
y=−7
Answer:
x=5 and y=−7
x=3;y=2x−1
Step: Solve x=3 for x:
x=3
Step: Substitute 3 for x in y=2x−1:
y=2x−1
y=(2)(3)−1
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
Let's solve your system by substitution.
y=6x+3;y=5x+4
Step: Solve y=6x+3 for y:
y=6x+3
Step: Substitute 6x+3 for y in y=5x+4:
y=5x+4
6x+3=5x+4
6x+3+−5x=5x+4+−5x(Add -5x to both sides)
x+3=4
x+3+−3=4+−3(Add -3 to both sides)
x=1
Step: Substitute 1 for x in y=6x+3:
y=6x+3
y=(6)(1)+3
y=9(Simplify both sides of the equation)
Answer:
x=1 and y=9
2x+3y=2;y=x−6
Step: Solve y=x−6 for y:
y=x−6
Step: Substitute x−6 for y in 2x+3y=2:
2x+3y=2
2x+3(x−6)=2
5x−18=2(Simplify both sides of the equation)
5x−18+18=2+18(Add 18 to both sides)
5x=20
divide both sides by 5
5x/5 and 20/5
x=4
Step: Substitute 4 for x in y=x−6:
y=x−6
y=4−6
y=−2(Simplify both sides of the equation)
Answer:
x=4 and y=−2
