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Popular >

2x+3y=53,3x-y=19

Solution

2 x + 3 y = 53, 3 x - y = 19

Solution

x = 10, y = 11

Solution steps

[2 x + 3 y = 53 3 x - y = 19]

Isolate

x

for

2 x + 3 y = 53 : x = \frac{53 - 3 y}{2}

Substitute

x = \frac{53 - 3 y}{2}

[3 \cdot \frac{53 - 3 y}{2} - y = 19]

Simplify

[\frac{159 - 11 y}{2} = 19]

Isolate

y

for

\frac{159 - 11 y}{2} = 19 : y = 11

For

x = \frac{53 - 3 y}{2}

Substitute

y = 11

x = \frac{53 - 3 \cdot 11}{2}

\frac{53 - 3 \cdot 11}{2} = 10

x = 10

The solutions to the system of equations are:

x = 10, y = 11

Popular Examples

4x+6y=2,6x+5y=1

4 x + 6 y = 2, 6 x + 5 y = 1

5x-3y=-16,5x+3y=2

5 x - 3 y = - 16, 5 x + 3 y = 2

2 x + y = 5, x - y = 1

2 x - y = 6, x - y = 2

2 x + 3 y = 1, 2 x - y = 1

Frequently Asked Questions (FAQ)

What is 2x+3y=53,3x-y=19 ?
The solution to 2x+3y=53,3x-y=19 is x=10,y=11