The equation (i), (ii), and (v) are the equivalent.
What is the equivalent expression?
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
We have,
2 + x = 5
x + 1 = 4
9 + x = 6
x + (-4) = 7
-5 + x = -2
If we take x =3,
the sums would be true.
for the equation (i) take x = 3,
2 + x = 5
2 + 3 = 5
LHS = RHS = 5
for equation (ii) take x = 3,
x + 1 = 4
3 + 1 = 4
LHS = RHS = 4
for equation (iii) take x = 3,
9 + x = 6
9 + 3 = 6
12 ≠ 6
LHS ≠ RHS
for the equation (iv) take x = 3,
x + (-4) = 7
3 + (-4) = 7
-1 ≠ 7
LHS ≠ RHS
for the equation (v) take x = 3,
-5 + x = -2
-5 + 3 = -2
-2 = -2
LHS = RHS = -2
Hence, if If we take x =3, the sums would be true. the equation (i), (ii), and (v) are the equivalent.
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