Use substitution to find the solution to the system of equations.

5x+7y=-29
y=x+1

a. (-3,-2)
b. (-2,-3)
c. (-2.5,-1.5)
d. (3,4)

Ummm, so the answer is A. (-3,-2)

StepByStep Solution:

5x + 7(x+1) =-29

5x+7x+7=-29

12x=-36

x=-3

y=-3+1

y=-2

A. (-3,-2)

Step-by-step explanation:

In substitution method for solving a system of equation we find the value of a variable from one equation and put it into the other equation.

Here, the given system of equation,

5x+7y=-29  (1)

y=x+1 (2),

Substitute the value of y from equation (2) to equation (1),

5x + 7(x+1) = -29

5x + 7x + 7 = -29

12x + 7 = -29

12x = -36

x = -3

From equation (2),

y = -3 + 1 = -2

Hence, the solution of the given system is ( -3, -2 )

Option A is correct.

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)