Step by step explanation

Step-by-step explanation:

x + y = 12 -------------------------(1)

2x + 5y = 27 --------------------(2)

Multiply (1) by 2

2(x+y) = 12 * 2

2x + 2y = 24 --------------------(3)

Subtract (3) from (2)

2x + 5y - ( 2x + 2y ) = 27 - 24

2x + 5y - 2x - 2y = 3

5y - 2y = 3

3y = 3

Divide 3 to both sides

y = 1

Put y = 1 in (1)

x + 1 = 12

x = 12 - 1

x = 11

So,

x = 11 , y = 1

Hope this helped!

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

oof

step-by-step explanation: