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please solve this system of equations:
-4x-5y=-19
-9x-7y=-13

hi there!! :)

the answer should be (-4,5) or x = -4, y = 5

Step-by-step explanation:

1. You'd want to solve this system using elimination because both equations are written in standard form so it would be easiest. To do this, you need to choose which variable you want to eliminate. I'm going to eliminate the Y viariables.

so, you'd need to first find the LCM of the two variables. The LCM for 5 and 7 would be 35. So, you would multiply the entire top equation by -7 and the entire bottom equation by 5 so that your y viariables will end up being -45y and 45y, therefore cancelling each other out.

2. Completing step 1 will leave you with the following system:

28x = 133

-45x = -65

So, next we need to combine these two equations through adding like variables. this will mean we need to add 28x + -45x and 133 + -65

This will leave us with -17x = 68

3. Now, we need to isolate the x variable to solve for x. This is done through dividing both sides of the equation by -17. This will leave us with x = -4.

4. Now, we need to find y. To do this, you would pick one of the equations and solve it using the x value we just found. So, using this on the top equation, we would need to solve -4(-4) - 5y = -19.

First, multiply what's in the parentheses. this leaves us with 16 - 5y = -19. Now, we need to begin isolating the y value. This means subtracting the 16 from both sides of the equation, leaving us with -5y = -35. Now, to finish off, we would complete isolating the y variable through dividing both sides by -5. This will leave us with y = 7.

5. This all means that the answer should be (-4,5) or x = -4, y = 5

Hope this helps!!

77

step-by-step explanation: