Use substitution: y = x + 1 2y = 3x Use elimination: 2x + 3y = 20
-2x + y = 4

Question 1

X=0,y=0

Question 2

x=1,y=6

Step-by-step explanation:

The first question says we should solve by using substitution

y=3x...(1)

X+12y=3x...(2)

Let's substitute (1) into (2)

X+12(3x)=3x

X+36x=3x

Let's collect like terms

X+36x-3x=0

34x=0

Divide both sides by 34

X=0

Let's substitute the value of x in (1)

y=3(0)

y=0

Therefore x=0,y=0

The other question is elimination

2x+3y=20...(1)

-2x+y=4...(2)

Add (1) and (2)

4y=24

Let's make y the subject of formula by dividing both sides by 4

y=6

Substitute the value of y into(2)

-2x+6=4

Collect like terms

-2x=4-6

-2x=-2

Divide both sides by 2

x=1

Therefore x=1,y=6

22.62°

Step-by-step explanation:

Looking at the attached diagram, it is a right angled triangle. If we are to solve for the measure of angle x , we would be using the Trigonometric function of cosine

The formula is given as

cos x = Adjacent/ Hypothenuse

Adjacent = 12

Hypothenuse = 13

Therefore,

cos x° = 12/13

x° = cos -¹ (12/13) or arccos (12/13)

x° = 22.619864948°

Therefore, the measure of x to the nearest hundredth = 22.62°