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
Answered by James B. Maths tutor

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