Answer:
the answer to the question is 5
The solution of the system of equations is (6 , -7)
Step-by-step explanation:
There are two method to solve the system of equations
- Elimination method: we make the coefficients of one variable in the two equations have same values and different signs, then we add the two equations to eliminate this variable and have an equation of other variable, we solve it to find the other variable, then substitute the value of this variable in one of the two equations to find the first variable
- Substitution method: We use one of the two equations to find one variable in terms of the other, then substitute it in the second equation to have an equation of the other variable, we solve it to find the other variable, then substitute the value of this variable in the equation of the first variable
Let us use the elimination method with your problem
∵ 3x + 2y = 4 ⇒ (1)
∵ 3x + 6y = -24 ⇒ (2)
- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs
∵ -3x - 2y = -4 ⇒ (3)
- Add equations (2) and (3)
∴ 4y = -28
- Divide both sides by 4
∴ y = -7
Substitute value of y in equations (1) OR (2) to find x
∵ 3x + 2(-7) = 4
∴ 3x - 14 = 4
- Add 14 for both sides
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
The solution of the system of equations is (6 , -7)
<em>I hope this explanation help you</em>
Learn more:
You can learn more about the system of linear equations in brainly.com/question/6075514
#LearnwithBrainly
9514 1404 393
Answer:
8x -3y = 33
Step-by-step explanation:
Multiply by 3 to eliminate the fraction. Then rearrange to standard form.
y +7 = 2/3(4x -6) . . . . . . . given
3(y +7) = 2(4x -6) . . . . . . . multiply by 3
3y +21 = 8x -12 . . . . . . . . eliminate parentheses
33 = 8x -3y . . . . . . . . . . add 12-3y to both sides
8x -3y = 33 . . . . . . . . . swap sides to put into standard form
_____
Standard form has mutually prime integer coefficients, the leading one being positive.
Oh yeah the answer is 3 2/4 or 3 1/2 if you want to simplify.
Answer:
Jacob, when you multiply a whole number by a decimal you get a number smaller than the whole number you started off with.
Step-by-step explanation:
