# Fill in the bla so the resulting statement is true when solving 4x,-,3y=15 3x-2y=10 by the addition method we can eliminate y by multiplying the first equation by 2 and the second equation by ______, and then adding the equations

Question
Equations and inequalities
Fill in the bla
so the resulting statement is true
when solving
4x,-,3y=15
3x-2y=10
by the addition method we can eliminate y by multiplying the first equation by 2 and the second equation by ______, and then adding the equations

2020-12-26
Consider the given equations
4x-3y=15----(1)
3x-2y=10----(2)
Use the addition method to eliminate y
Multiply the first equation by 2 and multiply the second equation by (−3)
Then,
-x=0
Put the value of x in the equation (1), then
So,
4(0)-3y=15
$$y=-15/3$$
y=-5
(x, y)=(0, -5)
Hence, the require number that is multiplied to the second equation is −3

### Relevant Questions

Fill in the bla
so the resulting statement is true.
when solving
$$3x^2+2y^2=35$$
$$4x^2+3y^2=48$$
by the addition method, we can eliminate $$x^2$$ by the multiplying the first equation by -4 and the second equation by __________ and then adding the equations
Fill in the blank/s: When solving $$3x^2 + 2y^2 = 35, 4x^2 + 3y^2 = 48$$ by the addition method, we can eliminate x2 by multiplying the first equation by -4 and the second equation by _________ and then adding the equations.
Fill in the blank/s: When solving x = 3y + 2 and 5x - 15y = 10 by the substitution method, we obtain 10 = 10, so the solution set is ___________ The equations in this system are called ___________ . If you attempt to solve such a system by graphing, you will obtain two lines that ___________
Consider the the equations:
Equation 1 is 5x - 2y - 4z = 3
and
Equation 2 is 3x + 3y + 2z = -3.
Eliminate z by copying Equation 1, multiplying Equation 2 by 2, and then adding the equations.
Fill in each blank so that the resulting statement is true. "After performing polynomial long division, the answer may be checked by multiplying the ____ by the ____, and then adding the ____. You should obtain the ____."
For each systems of equations below choose the best method for solving and solve
3x+y=24
-x-y=-10
Celine, Devon, and another friend want to purchase some snacks that cost a total of $7.50. They will share the cost of the snacks. Which of these statements is true? A. An equation that can be used to find x, the amount of money each person will pay is x+3=7.5. The solution to the equation is 4.5, so each person will pay$4.50.
B. An equation that can be used to find x, the amount of money each person will pay is x+3=7.5. The solution to the equation is 10.5, so each person will pay $10.50. C. An equation that can be used to find x, the amount of money each person will pay is x⋅3=7.5. The solution to the equation is 2.5, so each person will pay$2.50.