Question

Y - 7x + 18 = 0 3x + y - 2 = 0

Answer 1

To solve the system of equations, we can use the method of substitution. Following the steps of this method, we find that x = 2 and y = -4 are the solution to the given equations.

Step-by-step explanation:

The given equations are:

y - 7x + 18 = 0

3x + y - 2 = 0

To solve this system of equations, we can use the method of substitution:

1. Solve one equation for one variable in terms of the other.
2. Substitute the expression found in step 1 into the other equation.
3. Solve the resulting equation to find the value of the remaining variable.
4. Substitute the value found in step 3 into one of the original equations to find the value of the other variable.
5. Check the solution by substituting the values back into both original equations.

Let's start by solving the second equation for y:

3x + y - 2 = 0

y = 2 - 3x

Now, substitute this expression for y in the first equation:

(2 - 3x) - 7x + 18 = 0

2 - 3x - 7x + 18 = 0

-10x + 20 = 0

-10x = -20

x = 2

Substitute the value of x back into the second equation to find y:

y = 2 - 3(2)

y = 2 - 6

y = -4

Therefore, the solution to the system of equations is x = 2 and y = -4.