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Popular >

4x-3y=6,5x+2y=19

Solution

4 x - 3 y = 6, 5 x + 2 y = 19

Solution

x = 3, y = 2

Solution steps

[4 x - 3 y = 6 5 x + 2 y = 19]

Isolate

x

for

4 x - 3 y = 6 : x = \frac{6 + 3 y}{4}

Substitute

x = \frac{6 + 3 y}{4}

[5 \cdot \frac{6 + 3 y}{4} + 2 y = 19]

Simplify

[\frac{30 + 23 y}{4} = 19]

Isolate

y

for

\frac{30 + 23 y}{4} = 19 : y = 2

For

x = \frac{6 + 3 y}{4}

Substitute

y = 2

x = \frac{6 + 3 \cdot 2}{4}

\frac{6 + 3 \cdot 2}{4} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 2

Popular Examples

7/((3x))+2/y =11, 5/((2x))+3/((4y))=9

\frac{7}{( 3 x )} + \frac{2}{y} = 11, \frac{5}{( 2 x )} + \frac{3}{( 4 y )} = 9

a + b = 7, a - b = - 1

y=-42+4x,4x+15y=-3

y = - 42 + 4 x, 4 x + 15 y = - 3

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

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

y = x + 5, 2 x + y = 47

Frequently Asked Questions (FAQ)

What is 4x-3y=6,5x+2y=19 ?
The solution to 4x-3y=6,5x+2y=19 is x=3,y=2