Solve the following equations by transposing the terms and check your result. (1) 2 + y = 7 (ii) 2a - 3 = 5 (iii) 10-q=6 (iv) 2t - 5=3 (v) 14 = 27 - X (vi) 5 (x+4)=35 (vii) -3x = 15 (viii) 5x –3 = 3x - 5 (ix) 3y +4= 5y - 4 (x) 3 (x - 3) = 5 (2x + 1)
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Answer:
Step-by-step explanation:
1. 2+Y =7
Y = 7-2
Y=5
2.2A - 3 = 5
2A = 5+3
2A = 8
A = 8/2
A=4
3.
10 - Q = 6
10 - 6 =Q
Q = 4
4
2T - 5 =3
2T = 3+5
2T = 8
T = 8/2
T=4
5
X - 27 = 14
X = 14+27
X=41
6
5(X + 4) = 35
5X + 20 = 35
5X = 35 - 20
5X = 15
X = 15/5
X= 3
7
-3X = 15
-15 = 3X
X = -15/3
X=-5
8
5X - 3 = 3X - 5
5X - 3X = -5 + 3
2X = -2
X = -2/2 = -1
9
3Y + 4 = 5Y - 4
5Y -3Y = 4+4
2Y = 8
Y = 8/2
Y=4
10
3(X-3) = 5(2X +1)
3X - 9 = 10X + 5
10X -3X = 5+9
7X = 14
X = 14/7
X = 2
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