Which expression can you substitute for x in 5x+y=8 to solve the system below? 5x+y=8
x+4y=2

x =30/19 and y =2/19

Step-by-step explanation:

5x + y = 8

x + 4y = 2

then

5x + y = 8

-5(x +4y =2)

5x + y = 8

-5x - 20y = - 10

0 +y - 20y = -2

- 19y = -2

y = 2/19 then

5x + 2/19 = 8

5x = 152-2/19

5x/5 =150/19 *1/5

x =30/19

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.