Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A 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.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
