Solve, using the substitution method. y = 3x + 5
4x – y = 5

10, 35)

(15, 10)

There are an infinite number of solutions.

There is no solution.

Hi, there the answer is (10,35)

Step-by-step explanation:

Step: Solvey=3x+5for y:

y=3x+5

Step: Substitute3x+5for y in4x−y=5:

4x−y=5

4x−(3x+5)=5

x−5=5(Simplify both sides of the equation)

x−5+5=5+5(Add 5 to both sides)

x=10

Step: Substitute10 for x in y=3x+5

y=3x+5

y=(3)(10)+5

y=35(Simplify both sides of the equation)

Hope this helps :)

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.