3) Solve each linear system using the method of substitution. a) l_(1):y=2x+4 l_(2):x-4y=-9 b)

Question

Answer 1

## Step 1: Substitute

in

### The first equation,

, expresses

in terms of

. Substitute this expression for

into the second equation,

. This gives us an equation with only

.## Step 2: Solve for

### Substitute

into

:

## Step 3: Solve for

### Substitute the value of

(

) back into either of the original equations. Using

is easier:

## Step 4: State the solution### The solution to the system of equations is the point where the two lines intersect, which is

.

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