MATH SOLVE

4 months ago

Q:
# LAST ONE I SWEAR BUT STILL WILL MARK BRAINLIEST Choose a system of equations with the same solution as the following system:6x + 2y = −63x − 4y = −18a. 8x + 4y = −417x + 2y = −28b. 12x + 4y = 1221x + 2y = −36c. 6x + 8y = −3615x + 6y = −60d. 6x + y = 1515x − y = −9

Accepted Solution

A:

Answer:a. 8x + 4y = −417x + 2y = −28Step-by-step explanation:{6x + 2y = −6{3x − 4y = −18{6x + 2y = −6{1½x - 2y = −9___________[tex]\displaystyle \frac{7\frac{1}{2}x}{7\frac{1}{2} = -\frac{15}{7\frac{1}{2}} \\ \\ x = -2[/tex][Plug this back into both equations above to get the y-coordinate of 3]; [tex]\displaystyle 3 = y[/tex]Alternatively, you plug the solution of [tex]\displaystyle [-2, 3][/tex] into the top answer choice to get this:{−16 + 12 = −4 ☑{−34 + 6 = −28 ☑These are genuine statements, therefore this system of equations is the system we are looking for.I am joyous to assist you anytime.