Answer:
X=-4, y=-7
Step-by-step explanation:
6x-5y=11. 1st equation
y=7x+21 2nd equation
6x-5(7x+21)=11. Sub value of y in 2nd equation (7x+22) into 1st equation
6x-35x-105=11. Solve by distributative property
-29x-105=11. Add x values
-29x=116. add 105 to both sides
x=-4. Solve for x
solve for y:
y=7x+21
y=7(-4)+21
y=-28+21
y=-7
check answer by substituting x and y into either equation
6x-5y=11
6(-4)-5(-7)=11
-24+35=11
11=11
Answer:
Infinite number of solutions.
Step-by-step explanation:
We have the equations,
1. 3x+3y=10
2. -9x-9y= -30
Now, if we multiply equation 1 with -3, we will obtain equation 2.
i.e. -3×(3x+3y)= -3×10
i.e. -9x-9= -30
So, we see that both the equations are same.
The equation 3x+3y=10 will have solution for many values of x and y.
Hence, the system will have infinite number of solutions.
Answer:
15
Step-by-step explanation:
Co-efficient = number multiplied by a variable
The only number multiplied by a variable is 15, therefore, it's the co-efficient.
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I believe it is the last answer choice