SOLUTION: Solve the following set of equation by both graphing method and also by addition. Prepare a paragraph comparing and contrasting the two methods. 3x+4y = -5

Question 317516: Solve the following set of equation by both graphing method and also by addition.
Prepare a paragraph comparing and contrasting the two methods.

3x+4y = -5
5x+6y = -7
Please :)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the following set of equation by both graphing method and also by addition.
Prepare a paragraph comparing and contrasting the two methods.
3x+4y = -5
5x+6y = -7
----------------------------
Solve by elimination:
Multiply thru 1st equation by 5
Multiply thru 2nd equation by 3
-------
15x + 18y = -21
15x + 20y = -25
---
Subtract from 1st from 2nd and sol solve for "y":
y = -4
---
Substitute into 3x+4y=-6 to solve for "x":
3x +4(-4) = -6
3x = 10
x = 2
====================================================
3x+4y = -5
5x+6y = -7
------
Solve by graphing:
y = (-3/4)x -(5/4)
Let x = 0, then y = -5/4 giving you point (0,-5/4)
Let x = 4, then y = -17/4 giving you point (4,-17/4)
Plot the points and draw a line thru them.
----------------------
Solve by graphing:
y = (-5/6)x -(7/6)
Let x = 0, then y = -7/6 giving you point (0,-17/6)
Let x = 6, then y = -37/6 giving you point (6,-36/6)
Plot the points and draw a line thru them.
-------------------------
Graph and find the point is intersection; it should be (2,-4)
===========================

=============================
Cheers,
Stan H.

RELATED QUESTIONS
Hi! I have been trying to use old, retired ACT exams to prepare to take the actual... (answered by josgarithmetic,MathLover1,MathTherapy)

Solve the system of equations given by {x+2y=4, 3x-y=5} by the addition method, check... (answered by mananth)

I cant figure this one out. Please help. Solve the equation x2 + 8x � 2 = 0 using both (answered by Mathtut)

Solve the following system by the addition method 0.05x + 0.10y = 1.3 and x + y =... (answered by checkley77)

Solve the following system by the addition method 0.05x + 0.10y = 1.3 and x + y =... (answered by nabla)

Find the solution set for the system by graphing both of the systems equations in the... (answered by josgarithmetic)

Use at least a paragraph to answer the following: 1. Write a detailed summary on the... (answered by TimothyLamb)

I know how to solve systems of linear equations using the substitution method, the... (answered by Earlsdon)

Use a graph to solve the following system of equations, "by the method of graphing:"... (answered by ewatrrr)