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Popular >

2x+3y=13,4x+5y=23

Solution

2 x + 3 y = 13, 4 x + 5 y = 23

Solution

x = 2, y = 3

Solution steps

[2 x + 3 y = 13 4 x + 5 y = 23]

Isolate

x

for

2 x + 3 y = 13 : x = \frac{13 - 3 y}{2}

Substitute

x = \frac{13 - 3 y}{2}

[4 \cdot \frac{13 - 3 y}{2} + 5 y = 23]

Simplify

[- y + 26 = 23]

Isolate

y

for

- y + 26 = 23 : y = 3

For

x = \frac{13 - 3 y}{2}

Substitute

y = 3

x = \frac{13 - 3 \cdot 3}{2}

\frac{13 - 3 \cdot 3}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 3

Popular Examples

3 x + y = 11, 2 x + y = 9

13x-6y=2,2x=y+6

13 x - 6 y = 2, 2 x = y + 6

x + y = 24, 2 x - y = - 6

12(x+2y)-8(2x+y)=2,(5x-6y)20(x-4y)=-10

12 (x + 2 y) - 8 (2 x + y) = 2, (5 x - 6 y) 20 (x - 4 y) = - 10

x + 3 y = 11, 4 x - y = 5

Frequently Asked Questions (FAQ)

What is 2x+3y=13,4x+5y=23 ?
The solution to 2x+3y=13,4x+5y=23 is x=2,y=3