Question

What is 10x+4y=46 17x-4y=35

Answer 1

The solution is x=3 and y=4

Step-by-step explanation:

Given

$10x+4y=46\ \ \ Eqn\ 1\\17x-4y=35\ \ \ Eqn\ 2$

As the coefficients of y in both equations are same i.e. 4 with already different signs, we can simply add the equations

So,

Adding Eqn 1 and Eqn 2

$10x+4y+17x-4y = 46+35\\27x = 81$

Dividing both sides by 27

$\frac{27x}{27} = \frac{81}{27}\\x = 3$

Putting x=3 in eqn 1

$10(3)+4y = 46\\30+4y = 46\\30+4y-30 = 46-30\\4y = 16$

Dividing both sides by 4

$\frac{4y}{4} = \frac{16}{4}\\y = 4$

Hence,

The solution is x=3 and y=4

Keywords: Linear equations, variables

Learn more about linear equations at:

• brainly.com/question/4703807
• brainly.com/question/4703820

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