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Popular >

3x+5y=19,4x-2y=-18

Solution

3 x + 5 y = 19, 4 x - 2 y = - 18

Solution

x = - 2, y = 5

Solution steps

[3 x + 5 y = 19 4 x - 2 y = - 18]

Isolate

x

for

3 x + 5 y = 19 : x = \frac{19 - 5 y}{3}

Substitute

x = \frac{19 - 5 y}{3}

[4 \cdot \frac{19 - 5 y}{3} - 2 y = - 18]

Simplify

[\frac{76 - 26 y}{3} = - 18]

Isolate

y

for

\frac{76 - 26 y}{3} = - 18 : y = 5

For

x = \frac{19 - 5 y}{3}

Substitute

y = 5

x = \frac{19 - 5 \cdot 5}{3}

\frac{19 - 5 \cdot 5}{3} = - 2

x = - 2

The solutions to the system of equations are:

x = - 2, y = 5

Popular Examples

2x-y+2=4,x+y-5=0

2 x - y + 2 = 4, x + y - 5 = 0

4x+2y=46,6y+2x=530

4 x + 2 y = 46, 6 y + 2 x = 530

2x+y=17,8x-y=83

2 x + y = 17, 8 x - y = 83

7x-9 y/2-2x+4/2 =-15,5(x-1+y)=25

7 x - 9 \frac{y}{2} - 2 x + \frac{4}{2} = - 15, 5 (x - 1 + y) = 25

2+3y+4z=7,4y=2+5z,3z-2x+6=0

2 + 3 y + 4 z = 7, 4 y = 2 + 5 z, 3 z - 2 x + 6 = 0

Frequently Asked Questions (FAQ)

What is 3x+5y=19,4x-2y=-18 ?
The solution to 3x+5y=19,4x-2y=-18 is x=-2,y=5