What is 3x-4y=26,2x-3y=-19 ?

The solution to 3x-4y=26,2x-3y=-19 is x=154,y=109

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3x-4y=26,2x-3y=-19

3 x - 4 y = 26, 2 x - 3 y = - 19

x = 154, y = 109

Solution steps

[3 x - 4 y = 26 2 x - 3 y = - 19]

Isolate

x

for

3 x - 4 y = 26 : x = \frac{26 + 4 y}{3}

Substitute

x = \frac{26 + 4 y}{3}

[2 \cdot \frac{26 + 4 y}{3} - 3 y = - 19]

Simplify

[\frac{52 - y}{3} = - 19]

Isolate

y

for

\frac{52 - y}{3} = - 19 : y = 109

For

x = \frac{26 + 4 y}{3}

Substitute

y = 109

x = \frac{26 + 4 \cdot 109}{3}

\frac{26 + 4 \cdot 109}{3} = 154

x = 154

The solutions to the system of equations are:

x = 154, y = 109

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

- 2 x + y = 8, x - 4 y = - 5

89 x + 91 y = 44, 991 x + 89 y = 451

2 x - 3 y = 10, 0.4 x - y = 10

x + 2 y = 2, - x + y = 10