Use the subsitution method to solve the system of equations. 2x+3y=12. Y=x-1

x = 3, and y = 2

Step-by-step explanation:

2x + 3y = 12 (1)

y = x - 1 (2)

Substitute value of Y in (2) in (1)

2x + 3(x-1) = 12

2x + 3x - 3 = 12

5x - 3 = 12

5x = 12 + 3

5x = 15

x = 15/5

x = 3

Put the value of x in equation 2

y = x-1

y = 3 - 1

y = 2

Therefore, x = 3, and y = 2

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the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.