Mathematics
Liana688
39

Solve for x [latex] \frac{a}{x} + \frac{b}{c} = \frac{a}{b+c} [/latex]

+3
(1) Answers
Genna57

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) [latex]x= \frac{-acb-ac^2}{b^2+bc-ac} =\frac{acb+ac^2}{ac-b^2-bc}[/latex]

Add answer