Solve the simultaneous equations: x + 2y = 13, 4x - 3y = 8.
Multiply both sides of the equation x + 2y = 13 by 4 to get 4x + 8y = 52. Subtract 4x - 3y = 8 from 4x + 8y = 52 to get 11y = 44. Divide both sides of 11y = 44 by 11 to get y = 4. Since we now know y = 4, we can replace y with 4 in the equation x + 2y = 13 to get x + 8 = 13. Rearranging that to make x the subject of the formula results in x = 13 - 8 = 5, therefore the solution to the equations are x = 5, y = 4.
KP
Related Maths GCSE answers
All answers ▸Expand and simplify (x − 4)(2x + 3y)^2
Find the co-ordinates where the curve y= 2x^2 + 7x + 3 crosses the x axis
Find the value of x which satisfies the following equation 3x^2 +6x+3 = 0
There are n sweets in a bag, 6 are orange, the rest yellow. Two sweets are taken out individually without replacement. The probability of which is 1/3. show n²-n-90=0