Answer:
1. x=3 and y=4
2. x=−4 and y=26
3. x=54 and y=−9
Step-by-step explanation:
1. x+y=7;x+2y=11
Step: Solvex+y=7for x:
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute −y+7 for x in x+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute 4 for y in x=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
2. x+y=22;x+2y=48
Step: Solve x+y=22 for x:
x+y+−y=22+−y(Add -y to both sides)
x=−y+22
Step: Substitute−y+22 for x in x+2y=48:
x+2y=48
−y+22+2y=48
y+22=48(Simplify both sides of the equation)
y+22+−22=48+−22(Add -22 to both sides)
y=26
Step: Substitute26 for y in x=−y+22:
x=−y+22
x=−26+22
x=−4(Simplify both sides of the equation)
3. x+y=45;x+2y=36
Step: Solve x+y=45 for x:
x+y+−y=45+−y(Add -y to both sides)
x=−y+45
Step: Substitute−y+45 for x in x+2y=36:
x+2y=36
−y+45+2y=36
y+45=36(Simplify both sides of the equation)
y+45+−45=36+−45(Add -45 to both sides)
y=−9
Step: Substitute−9 for y in x=−y+45:
x=−y+45
x=−(−9)+45
x=54(Simplify both sides of the equation)
I hope this helped!
