What is the value of y?
2 answers:
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Easy
make denomenators the same
Step 1
multiply both sidesby (x)(c)(b+c)
(a)(c)(b+c)+(b)(x)(b+c)=(a)(x)(c)
Step 2
distribute
acb+ac²+xb²+bxc=axc
Step 3
minus (acb+ac²) from both sides
xb²+bxc=axc-acb-ac²
Step 4
minus axc from both sides
xb²+bxc-axc=-acb-ac²
Step 5
undistribute x
x(b²+bc-ac)=-acb-ac²
Step 6
divide both sides by (b²+bc-ac)
make denomenators the same
Step 1
multiply both sidesby (x)(c)(b+c)
(a)(c)(b+c)+(b)(x)(b+c)=(a)(x)(c)
Step 2
distribute
acb+ac²+xb²+bxc=axc
Step 3
minus (acb+ac²) from both sides
xb²+bxc=axc-acb-ac²
Step 4
minus axc from both sides
xb²+bxc-axc=-acb-ac²
Step 5
undistribute x
x(b²+bc-ac)=-acb-ac²
Step 6
divide both sides by (b²+bc-ac)
Answer:
<em>15</em><em> + 7x + 12</em>
Step-by-step explanation:
(6x^2 + 7x + 2) - (-9x^2 - 10)
Flip the sign:
- (-9x^2 - 10) becomes + 9x^2 + 10
Combine like terms:
6x^2 + 7x + 2 + 9x^2 + 10
6x^2 + 9x^2 = 15x^2
2 + 10 = 12
Put it all together:
15x^2 + 7x + 12