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.
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
1 answer