Michael and kathryn bowl together and their combined total score for one game was 425points. michael’s score was 70 less than twice kathryn’s. what system of equations models the problem if x represents kathryn’s score and y represents michael’s score?

Hey there!

Let us take Michael's score as ' x '

Let us take Kathryn's score as ' y '

Michael - 70 less than twice Kathryn's

x = 2y - 70

y = y

Add them, we get , 425

2y - 70 + y = 425

3y - 70 = 425

3y = 495

y = 495/3

y = 165

Kathryn's score = 165

Michael - 2 ( 165 ) - 70

= 260

Hope it helps!

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: