1. the graph shows two lines, a and b.

graph down below

based on the graph, which statement is correct about the solution to the system of equations for lines a and b?
(4, 4) is the solution to line a but not to line b.
(4, 4) is the solution to both lines a and b.
(5, 1) is the solution to line b but not to line a.
(0, 2) is the solution to both lines a and b.

2. two lines, r and m, are represented by the following equations:

line r: 2x + 2y = 18
line m: x + y = 9

which statement is true about the solution to the set of equations?

it is (18, 9).
it is (9, 18).
there are infinitely many solutions.
there is no solution.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have