I am trying to understand what to do here.. need help asap!! Thanks! M

Solve the following pair of simultaneous linear equations.
3x + 4y =5
2x + 2y =2
Select the option corresponds to the solution.
Select one:
x = 9 / 7, y = 2 / 7  x =  − 1, y = 2 x = 9 / 7, y =  − 2 / 7  x = 2, y =  − 1  x =  − 2 / 7, y = 9 / 7

You could either solve the problem directly or try each of the x,y combinations to see which one satisfies the two equations.

Note that
3x + 4y = 5
and
4x + 4y = 4
Thus
x = -1

There is only one choice with x = -1.

Thanks I understand now!

To solve the given pair of simultaneous linear equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:
1) 3x + 4y = 5
2) 2x + 2y = 2

To eliminate one variable, we need to multiply both sides of equation 2 by a suitable factor. In this case, we need to multiply equation 2 by 2:

2 * (2x + 2y) = 2 * 2
4x + 4y = 4

Now, we can subtract equation 2 from equation 1 to eliminate the variable y:

(3x + 4y) - (4x + 4y) = 5 - 4
3x - 4x + 4y - 4y = 1
-x = 1

Divide both sides of the equation by -1 to solve for x:

x = -1

Substitute the value of x back into either equation 1 or 2 to find y. Let's use equation 2:

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

So the solution to the simultaneous linear equations is x = -1 and y = 2.

Therefore, the correct option is x = -1, y = 2.