Answer:
(2,2)
Step-by-step explanation:
Given equations
x-3y=-4-------------------------------(1)
y=-3x+8.------------------------------(2)
Substitute 2 in 1. This means use the value of y in equation 1, to replace y
x-3(-3x+8)=-4------------------open brackets
x+9x-24=-4---------------------collect like terms
10x=-4+24
10x=20---------------------------divide by 10 both sides to get value of x
10x/10=20/10=2
x=2------------------------------use value of x in equation (2) to get value of y
y=-3x+8
y=-3(2)+8
y=-6+8=2
solutions
x=2, y=2
Answer:
16 books
Step-by-step explanation:
if Sandra read 5 books and Deacon read 6 and Breanna read 7 and they all one same book, then that means sandra read 4 different books then Deacon and Breanna. Deacon read 5 different books then Sandra and Breanna. Breanna read 6 different books then Deacon and Sandra.
So Sandras 4 books plus Deacons 5 books plus Breannas 6 books equals up to 15 but, now you need to add the one book they all read which makes the answer 16.
(Hopes this helps)
Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,

According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,

Putting the value of x from above equation in equation (1),

Now put the value of y in equation (1), so,

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
To find perimeter you add up all the sides so 5cm+6cm+17cm+8cm. This will get you 36cm.