Solve this pair of simultaneous equations to find x and y
(1) 2x - 5y = 11(2) 3x + 2y = 7-----------------------Multiply equation (1) by 3 & Multiply equation (2) by 2 to give equal values for x:(3) 6x - 15y = 33(4) 6x + 4y = 14-----------------------Take equation (4) away from equation (3) in order to eliminate the x value:-15y - 4y = 33 - 14-19y = 19y = -1-----------------------Subsitute back in to equation (1) or (2) to find the value of x:(1) 2x - 5y = 11 2x - 5(-1) = 11 2x + 5 = 11 2x = 6 x = 3-----------------------Check!(2) 3x + 2y = 7 3(3) + 2(-1) = 7 9 + (-2) = 7 9 - 2 = 7
JB
Related Maths GCSE answers
All answers ▸Dave and Chris split £24 in the ratio 2:1, how much does each person get?
There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015?
Solve the following set of simultaneous equations: (eq.1) x + 3y = 10, (eq.2) 2x + y = 5
Solve this simultaneous equation: 5n+t= 21 n-3t=9