Respuesta :

Answer: (2,4) (3, 1) (5,-5)

Explanation: if you input the X values from the options for X and Y values for Y and it equals to 10 then it is a solution:)

The solutions of the linear equation are; (2, 4), (3, 1) and (5, –5)

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

The given linear equation is;

3x + y = 10

For (1, 6)

3x + y = 10

y = 10 - 3x

y = 10 - 3(1)

y = 10 -3 = 7

So, this is not the solution of the linear equation.

For (2, 4)

y = 10 - 3x

y = 10 - 3(2)

y = 10 -6 = 4

So, this is the solution of the linear equation.

For (3, 1)

y = 10 - 3x

y = 10 - 3(3)

y = 10 -9 = 1

So, this is the solution of the linear equation.

For (4, –1)

y = 10 - 3x

y = 10 - 3(4)

y = 10 -12 = -2

So, this is not the solution of the linear equation.

For (5, –5)

y = 10 - 3x

y = 10 - 3(5)

y = 10 -15 = -5

So, this is the solution of the linear equation.

Learn more about linear equations;

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