solve the simultaneous equations 8x + 2y = 48 , 14x + 6y = 94
Step 1) Rearrange the first equation to make y the subject: 8x + 2y = 48 , 2y = 48 - 8x , y = 24 - 4x. step 2) Sub y = 23 - 4x into the second equation: 14x + 6(24 -4x) = 94 , 14x + 144 - 24x = 94 Step 3) solve for x: 14x + 144 - 94 = 24x , 50 = 24x - 14x , 50 = 10x , x = 5. Step 4) sub x=5 into either equation: 8(5) + 2y = 48 , 40 + 2y = 48 , 2y = 8y = 4 Step 5) check answers by subbing in both x and y values into the other equation: 14(5) + 6(4). = 94 , 70 + 24 = 94
HS
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