Answer: The value of x is -2.
Step-by-step explanation:
To find the x-value in the system of equations:
1. -3x + 5y = 21
2. 6x - y = -15
First, let's eliminate the y variable. Multiply the second equation by 5:
1. -3x + 5y = 21
2. 30x - 5y = -75
Now, add the two equations together:
(-3x + 5y) + (30x - 5y) = 21 - 75
This simplifies to:
27x = -54
Finally, divide both sides by 27:
x = -54 / 27
x = -2
So, the value of x is -2.Certainly, here's a simpler explanation:
To find the x-value in the system of equations:
1. -3x + 5y = 21
2. 6x - y = -15
First, let's eliminate the y variable. Multiply the second equation by 5:
1. -3x + 5y = 21
2. 30x - 5y = -75
Now, add the two equations together:
(-3x + 5y) + (30x - 5y) = 21 - 75
This simplifies to:
27x = -54
Finally, divide both sides by 27:
x = -54 / 27
x = -2
So, the value of x is -2.