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WorksheetsSubstitution
Total questions: 10
Worksheet time: 15mins
Which image shows a system of linear equations with infinitely many solutions?
What is the solution?
Which answer has a correct first step for this system:
3x + 3y = 3
y = 3x + 5
The variable is already isolated, so we've already solved the system.
The variable is already isolated for y, so we substitute it in the first equation and solve for x
3x + 3(3x + 5) = 3
Free sha vaca doo
The variable is already isolated for y, so we substitute it in the second equation and solve for x
y = 3(3x + 3y) = 3
Type the first step to solve this system using substitution:
2x+6y=−3
2x + 6(-5x) = -3
2x - 5x = -3
y + 6(-5y) =-3
2(-5x) + 6y = -3
To solve this system by substitution:
2x+2y=10
y=5+x
Your first step would be...
2x+2(5+x)=10
2x+2y+5+x=10
y=5+x+2x+2y
10=5+x
2x+y=3
x=3y+5
The next step in substitution would be...
2x+3y+5=3
2(3y+5)+y=3
2x+x=3
3y+5=3
x+y=3
2x+4y=8
Your next step would be...
Isolate x or y in x+y=3
2x+x=3
x+2x+4y=8
2x+x=8
