ANSWER SOON PLEASE! I WILL MARK BRANLIEST! The equation 7 x minus 10 y = 30 is written in standard form. What is the first step
when writing an equivalent equation which solves for y? Add 7x to both sides of the equation. Subtract 7x from both sides of the equation. Add 30 to both sides of the equation. Subtract 30 from both sides of the equation.
2 answers:
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Answer:
No real solutions.
Step-by-step explanation:
I'm going to subtract the second expression for y and plug it into the first equation.
So solving x=y+8 for y by subtracting 8 on both sides gives us y=x-8.
I'm going to insert this for the first y like so:
Now I'm going to move everything to one side.
I'm going to subtract x on both sides and add 8 on both sides.
Simplifying:
Now our job since the coefficient of x^2 is 1 is to find two numbers that multiply to be 4 and at the same time add up to be -3. I can't think of any such numbers.
Let's check the discriminant.
Compare to
.
So .
The discriminant is .
So plugging in our numbers we get .
Time to simplify:
So since the discriminant is negative, then the solutions will not be real.