What is 3x-4y-17=4,x+5y=21 ?

The solution to 3x-4y-17=4,x+5y=21 is x= 189/19 ,y= 42/19

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3x-4y-17=4,x+5y=21

3 x - 4 y - 17 = 4, x + 5 y = 21

x = \frac{189}{19}, y = \frac{42}{19}

Solution steps

[3 x - 4 y - 17 = 4 x + 5 y = 21]

Isolate

x

for

3 x - 4 y - 17 = 4 : x = \frac{4 y + 21}{3}

Substitute

x = \frac{4 y + 21}{3}

[\frac{4 y + 21}{3} + 5 y = 21]

Simplify

[\frac{19 y + 21}{3} = 21]

Isolate

y

for

\frac{19 y + 21}{3} = 21 : y = \frac{42}{19}

For

x = \frac{4 y + 21}{3}

Substitute

y = \frac{42}{19}

x = \frac{4 \cdot \frac{42}{19} + 21}{3}

\frac{4 \cdot \frac{42}{19} + 21}{3} = \frac{189}{19}

x = \frac{189}{19}

The solutions to the system of equations are:

x = \frac{189}{19}, y = \frac{42}{19}

5 x + 3 y = 11, 3 x - y = - 1

4 x - 2 y = 20, x + y = - 1

x - 2 y + 3 z - 1 = 0, x + 2 y - z - 13 = 0, 3 x + 2 y - 5 z - 3 = 0

7 x + 3 y = 12, 14 x + 6 y = 8

x + y = 5, 2 x + 2 y = 0

What is 3x-4y-17=4,x+5y=21 ?
The solution to 3x-4y-17=4,x+5y=21 is x= 189/19 ,y= 42/19