Use the solution method to the system of equations 8x+5y=9 , y=x+7

Step-by-step explanation:

Given Equations:

  Equation:1

      Equation:2

Using substitution method:

Put the value of 'y' in Equation:1

Adding the like terms:

Subtracting '35' both sides:

Dividing '13' both sides:

Put the value of 'x' in Equation:2

The solution of the equation is:

x = -2

y = 5

Step-by-step explanation:

8x+5y=9 (i)

y=x+7 (ii)

Substitute (y = x + 7) in equation (I)

8x + 5(x + 7) = 9

8x + 5x + 35 = 9

13x + 35 = 9

13x = 9 - 35

13x = -26

Divide both sides by 13 to make x the subject :

x = -26 / 13

x = -2

Substitute x = -2 in equation (ii)

y = x + 7

y = -2 + 7

y = 5.

TO CHECK:

x = -2

y = 5

8x+5y=9

8(-2) + 5(5) =

-16 + 25 = 9.

20

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,