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Popular >

5x+3y=6,5x+y=4

Solution

5 x + 3 y = 6, 5 x + y = 4

Solution

x = \frac{3}{5}, y = 1

Solution steps

[5 x + 3 y = 6 5 x + y = 4]

Isolate

x

for

5 x + 3 y = 6 : x = \frac{6 - 3 y}{5}

Substitute

x = \frac{6 - 3 y}{5}

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

Simplify

[6 - 2 y = 4]

Isolate

y

for

6 - 2 y = 4 : y = 1

For

x = \frac{6 - 3 y}{5}

Substitute

y = 1

x = \frac{6 - 3 \cdot 1}{5}

Simplify

x = \frac{3}{5}

The solutions to the system of equations are:

x = \frac{3}{5}, y = 1

Popular Examples

x/(13)-y/7 =6,x-10y-8=0

\frac{x}{13} - \frac{y}{7} = 6, x - 10 y - 8 = 0

2*3^x-3*2^y=42,3^{x+1}-2^{y+1}=73

2 \cdot 3^{x} - 3 \cdot 2^{y} = 42, 3^{x + 1} - 2^{y + 1} = 73

4m-3n=20,m-6n=12

4 m - 3 n = 20, m - 6 n = 12

5/((x-1))+1/((y-2))=2, 6/((x-1))-3/((y-2))=1

\frac{5}{( x - 1 )} + \frac{1}{( y - 2 )} = 2, \frac{6}{( x - 1 )} - \frac{3}{( y - 2 )} = 1

x - y = 6, x + y = 12

Frequently Asked Questions (FAQ)

What is 5x+3y=6,5x+y=4 ?
The solution to 5x+3y=6,5x+y=4 is x= 3/5 ,y=1