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Popular >

3x-2y=16,2x+3y=41

Solution

3 x - 2 y = 16, 2 x + 3 y = 41

Solution

x = 10, y = 7

Solution steps

[3 x - 2 y = 16 2 x + 3 y = 41]

Isolate

x

for

3 x - 2 y = 16 : x = \frac{16 + 2 y}{3}

Substitute

x = \frac{16 + 2 y}{3}

[2 \cdot \frac{16 + 2 y}{3} + 3 y = 41]

Simplify

[\frac{32 + 13 y}{3} = 41]

Isolate

y

for

\frac{32 + 13 y}{3} = 41 : y = 7

For

x = \frac{16 + 2 y}{3}

Substitute

y = 7

x = \frac{16 + 2 \cdot 7}{3}

\frac{16 + 2 \cdot 7}{3} = 10

x = 10

The solutions to the system of equations are:

x = 10, y = 7

Popular Examples

a(x)=(b-5)x+2,b(x)=3x+2b

a (x) = (b - 5) x + 2, b (x) = 3 x + 2 b

7x-3y=46,2x-9y=62

7 x - 3 y = 46, 2 x - 9 y = 62

13x+2y=1,5x-2y=-19

13 x + 2 y = 1, 5 x - 2 y = - 19

x+y=3,2x-1=4(3-y)

x + y = 3, 2 x - 1 = 4 (3 - y)

1/q 1=30,0q^2=200,p^1=8,p^2=1

\frac{1}{q} 1 = 30, 0 q^{2} = 200, p^{1} = 8, p^{2} = 1

Frequently Asked Questions (FAQ)

What is 3x-2y=16,2x+3y=41 ?
The solution to 3x-2y=16,2x+3y=41 is x=10,y=7