What is 4x+3y=2,x-7=3x-y-4 ?

The solution to 4x+3y=2,x-7=3x-y-4 is x=-7/10 ,y= 8/5

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4x+3y=2,x-7=3x-y-4

4 x + 3 y = 2, x - 7 = 3 x - y - 4

x = - \frac{7}{10}, y = \frac{8}{5}

Solution steps

[4 x + 3 y = 2 x - 7 = 3 x - y - 4]

Isolate

x

for

4 x + 3 y = 2 : x = \frac{2 - 3 y}{4}

Substitute

x = \frac{2 - 3 y}{4}

[\frac{2 - 3 y}{4} - 7 = 3 \cdot \frac{2 - 3 y}{4} - y - 4]

Simplify

[\frac{2 - 3 y}{4} - 7 = \frac{6 - 13 y}{4} - 4]

Isolate

y

for

\frac{2 - 3 y}{4} - 7 = \frac{6 - 13 y}{4} - 4 : y = \frac{8}{5}

For

x = \frac{2 - 3 y}{4}

Substitute

y = \frac{8}{5}

x = \frac{2 - 3 \cdot \frac{8}{5}}{4}

\frac{2 - 3 \cdot \frac{8}{5}}{4} = - \frac{7}{10}

x = - \frac{7}{10}

The solutions to the system of equations are:

x = - \frac{7}{10}, y = \frac{8}{5}

5 x - 7 y = 46, 3 x + 4 y = 3

(2) x - 2 y = 3, x + y = 7

c = (- 6.2), r = 49

27 x + 31 y = 35, 31 x + 24 y = 89

x + 2 y + 5 z = 23, 3 x + y + 4 z = 26, 6 x + y + 7 z = 47

What is 4x+3y=2,x-7=3x-y-4 ?
The solution to 4x+3y=2,x-7=3x-y-4 is x=-7/10 ,y= 8/5