Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Solve by Substitution 3x-4y=9 , -3x+2y=9
3
x
−
4
y
=
9
 , 
−
3
x
+
2
y
=
9
Solve for 
x
 in the first equation.
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x
=
3
+
4
y
3
−
3
x
+
2
y
=
9
Replace all occurrences of 
x
 in 
−
3
x
+
2
y
=
9
 with 
3
+
4
y
3
.
x
=
3
+
4
y
3
−
3
(
3
+
4
y
3
)
+
2
y
=
9
Simplify 
−
3
(
3
+
4
y
3
)
+
2
y
.
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x
=
3
+
4
y
3
−
9
−
2
y
=
9
Solve for 
y
 in the second equation.
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Move all terms not containing 
y
 to the right side of the equation.
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x
=
3
+
4
y
3
−
2
y
=
18
Divide each term by 
−
2
 and simplify.
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x
=
3
+
4
y
3
y
=
−
9
Replace all occurrences of 
y
 in 
x
=
3
+
4
y
3
 with 
−
9
.
x
=
3
+
4
(
−
9
)
3
y
=
−
9
Simplify 
3
+
4
(
−
9
)
3
.
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x
=
−
9
y
=
−
9
The solution to the system of equations can be represented as a point.
(
−
9
,
−
9
)
The result can be shown in multiple forms.
Point Form:
(
−
9
,
−
9
)
Equation Form:
x
=
−
9
,
y
=
−
9
image of graph
 
        
             
        
        
        
Answer:
 the ratio of part time workers to total workers are 12/30
 
        
             
        
        
        
The best way for him to check his answer would be to simply plug in the value found for x into the equation. 
4(2) - 6 = 2
8 - 6 = 2
2 = 2