PLZ ONLY ANSWER IF U CAN SHOW STEP BY STEP! Susanna is packaging a blend of mixed nuts and candies for wedding favors. The mixed nuts cost her $3 per pound and the candies cost her $4 per poun d. Susanna bought a total of 8 lbs of nuts and candies and spent a total of $27. How many pounds of nuts and candies did Susanna buy? – Include specific steps in your letter

Susanna bought 3 pounds of candies and 5 pounds of mixed nuts

Step-by-step explanation:

Represent Nuts with N and Candies with C

For Amount:

For Weights:

Required

Solve for N and C

Make N the subject in the second equation

Substitute 8 - C for N in the first equation.

Solve for C

Recall that:

Hence, Susanna bought 3 pounds of candies and 5 pounds of mixed nuts

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3