Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
y = 3
x = -4
(2x + y = -5)3 = 6x + 3y = -15 = 6x + 3y = -15
(3x + 5y = 3)2 = -(6x + 10y = 6) = -6x - 10y = -6
-7y = -21 : y = 3
(then we substitute y into equation #1)
2x + 3 = -5
2x = -8
x = -4
x = -4
(2x + y = -5)3 = 6x + 3y = -15 = 6x + 3y = -15
(3x + 5y = 3)2 = -(6x + 10y = 6) = -6x - 10y = -6
-7y = -21 : y = 3
(then we substitute y into equation #1)
2x + 3 = -5
2x = -8
x = -4
2x + y = -5 .........(i)
3x + 5y = 3.........(ii)
Now which do you want us to eliminate first, x or y? I hear you saying y. So we are going to eliminate y first.
But if we look at equations (ii) we see that y has 5y, so we multiply equation (i) by 5, so that it has 5y also.
2x + y = -5 .........(i) (x5).
3x + 5y = 3.........(ii)
5*(2x + y) = 5*(-5)
10x + 5y = -25.............(iii).
The new equation becomes (iii), and we can now compare (ii) and (iii)
3x + 5y = 3.........(ii)
10x + 5y = -25.............(iii)
Since we have now made 5y on both equations, we can eliminate the y, by subtracting.
Equation (ii) Minus (iii).
We perform subtraction before the equality sign and after the equality sign, like in normal subtraction. The xs would subtract the xs and the ys would subtract the ys.
(3x-10x) + (5y -5y) = 3 - (-25)
-7x + 0y = 3 +25 . Minus Minus is Plus.
-7x = 28. Divide both sides by 7.
x = 28/(-7)
x = -4.
Now we have gotten x, so we can now substitute x = -4, in either equations (i) or (ii). Let us use (i).
2x + y = -5 .........(i) x = -4.
2(-4) + y = -5.
-8 + y = -5.
y = -5 +8. (When -8 crossed the equality sign to other side, sign changed)
y = 8-5
y =3.
Therefore x = - 4, y =3. That's it. Cheers.
3x + 5y = 3.........(ii)
Now which do you want us to eliminate first, x or y? I hear you saying y. So we are going to eliminate y first.
But if we look at equations (ii) we see that y has 5y, so we multiply equation (i) by 5, so that it has 5y also.
2x + y = -5 .........(i) (x5).
3x + 5y = 3.........(ii)
5*(2x + y) = 5*(-5)
10x + 5y = -25.............(iii).
The new equation becomes (iii), and we can now compare (ii) and (iii)
3x + 5y = 3.........(ii)
10x + 5y = -25.............(iii)
Since we have now made 5y on both equations, we can eliminate the y, by subtracting.
Equation (ii) Minus (iii).
We perform subtraction before the equality sign and after the equality sign, like in normal subtraction. The xs would subtract the xs and the ys would subtract the ys.
(3x-10x) + (5y -5y) = 3 - (-25)
-7x + 0y = 3 +25 . Minus Minus is Plus.
-7x = 28. Divide both sides by 7.
x = 28/(-7)
x = -4.
Now we have gotten x, so we can now substitute x = -4, in either equations (i) or (ii). Let us use (i).
2x + y = -5 .........(i) x = -4.
2(-4) + y = -5.
-8 + y = -5.
y = -5 +8. (When -8 crossed the equality sign to other side, sign changed)
y = 8-5
y =3.
Therefore x = - 4, y =3. That's it. Cheers.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
