Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6
3x + 2y = 14 -> 15x - y = 6 -> 2Answer: x = 2 and y =4Solution:multiply both sides of equation 2 by 2: 10x - 2y = 12add this to equation 1: 3x + 10x + 2y -2y = 14 +12simplify: 13x = 26divide by 13: x = 2substitute x = 2 into equation 1: 3(2) + 2y = 14subtract the 6 (3*2): 2y =8divide by 2: y=4
MF
Related Maths GCSE answers
All answers ▸A curve has the equation y=x^2+4x+4 and a line has the equation y=2x+3. Show the line and curve have only one point of intersection and find its coordinate..
Expand and simplify (x − 4)(2x + 3y)^2
Solve the two simultaneous equations: 2y + x = 8 [A] and 1 + y = 2x [B]
Rearrange aq - ac = d