Question

Solve.

{d+e=2d−e=4
Use the substitution method.

There are an infinite number of solutions.
There is no solution.
The solution is (3, −1).
The solution is (5, 1).

Answer 1

Option C is correct.

The solution is (3, -1)

Step-by-step explanation:

Substitution

Given the system of equation:

......[1]

......[2]

We can write equation [2] as;

d = e +4 ....[3]

Using substitution method;

Substitute the value of d in equation [1] we have;

Combine like terms;

Subtract 4 from both sides, we get

2e = -2

Divide both sides by 2 we get;

e = -1

Substitute the value of e = -1 in [1] we have;

d +(-1) = 2

d -1 = 2

Add 1 to both sides of an equation;

d = 3

Therefore, the solution for the given system of equation is, (3, -1)

Answer 2

Option C is correct.

The solution is (3, -1)

Explanation:

Substitution

Given the system of equation:

`d+e = 2` ......[1]

`d-e = 4` ......[2]

We can write equation [2] as;

d = e +4 ....[3]

Using substitution method;

Substitute the value of d in equation [1] we have;

`e+4+e = 2`

Combine like terms;

`2e +4 = 2`

Subtract 4 from both sides, we get

2e = -2

Divide both sides by 2 we get;

e = -1

Substitute the value of e = -1 in [1] we have;

d +(-1) = 2

d -1 = 2

Add 1 to both sides of an equation;

d = 3

Therefore, the solution for the given system of equation is, (3, -1)