Algebra Examples

Determine if (-5,2) is a Solution (-5,2) , y=-x-3 y=3x+10
(-5,2) , y=-x-3 y=3x+10
Step 1
Simplify -(-5)-3.
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Step 1.1
Multiply -1 by -5.
2=5-3
2=3(-5)+10
Step 1.2
Subtract 3 from 5.
2=2
2=3(-5)+10
2=2
2=3(-5)+10
Step 2
Since 2=2, the equation will always be true.
Always true
2=3(-5)+10
Step 3
Simplify 3(-5)+10.
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Step 3.1
Multiply 3 by -5.
2=-15+10
Always true
Step 3.2
Add -15 and 10.
2=-5
Always true
2=-5
Always true
Step 4
Since 2-5, there are no solutions.
No solution
Step 5
The ordered pair is not a solution to the system of equations.
(-5,2) is not a solution
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