Question

4x-2y=14

y=1/2x-1

Solve the system of linear equations by substitution. Check your answer.

Answer 1

To solve the system of linear equations by substitution, we first substitute the value of y from the second equation into the first equation. Then, we solve for x and substitute the value of x back into one of the equations to find the value of y. The solution to the system of equations is x = 4 and y = 1.

Step-by-step explanation:

To solve the system of linear equations by substitution, we substitute the value of y from the second equation into the first equation:

4x - 2(1/2x - 1) = 14

Simplifying the equation:

4x - x + 2 = 14

Combining like terms:

3x + 2 = 14

Subtracting 2 from both sides:

3x = 12

Dividing both sides by 3:

x = 4

Now we substitute the value of x = 4 back into the second equation to find the value of y:

y = (1/2)(4) - 1

Simplifying the equation:

y = 2 - 1

y = 1

Therefore, the solution to the system of equations is x = 4 and y = 1.

To check our answer, we substitute the values of x = 4 and y = 1 into both equations and verify that they satisfy both equations.

Answer 2

4x-2(1/2x-1)=14
4x-x+2=14. 1=1/2(4)-1
3x+2=14. 1=2-1
3x=12. 1=1
X=4
Y=1/2(4)-1
Y=2-1 Y=1