Which ordered pair represents the solution to:



System of equations 1st Row 2 x plus y equals 14 2nd Row 5 x minus y equals 28

Answer options with 5 options
A.
the point negative 6 comma negative 2

B.
the point 14-thirds comma negative 14-thirds

C.
the point 6 comma negative 2

D.
the point 6 comma 2

E.
the point negative 14-thirds comma 14-thirds

1 answer

To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method:

From the first equation, we have:

2x + y = 14

Solving for y, we can subtract 2x from both sides:

y = 14 - 2x

Now we can substitute this expression for y into the second equation:

5x - (14 - 2x) = 28

Expanding the equation and combining like terms:

5x - 14 + 2x = 28

7x - 14 = 28

Adding 14 to both sides:

7x = 42

Dividing both sides by 7:

x = 6

Substituting this value of x back into the first equation to solve for y:

2(6) + y = 14

12 + y = 14

Subtracting 12 from both sides:

y = 2

Therefore, the solution to the system of equations is the point (6, 2).

The correct answer option is D. The point 6 comma 2.
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