x + 3y = 17 and 5x - 4y = -10. Use substitution to solve this linear equation.?

Answer 1

x + 3y = 17 ..... (1)
5x - 4y = -10 ..... (2)

From (1), x = 17 - 3y

Put this value of x in (2),

5(17 - 3y) - 4y = -10
85 - 15y - 4y = -10
-19y = -95
y = 5

Put y = 5 in (1)

x + 15 = 17
x = 2

So, x = 2, y = 5 is the solution.

Answer 2

ok simultaneous equation to solve by substition easy heres how to do ti

first numbber the equations

1) x + 3y = 17
2) 5x- 4y = -10

rearrange equation 1) to just be x= 17- 3y

if x = 17 -3y then 5x = 85 -15y
so we known that equation 2) is really 85 -15y - 4y = -10
collect the terms so 85 - 19y = -10
[-85 from both sides of the = ]
to get -19y = -95
divide by 19 on both sides to get -y = -5
therefore y = 5
then substiturtte the fact that y = 5 back in to equation 1) to get x + (3x5) = 17
therefore x=2

Answer 3

hi, x + 3y = 17 solves to x = 17 - 3y 5x - 4y = -10 5(17 - 3y) - 4y = -10 eighty 5 - 15y - 4y = -10 eighty 5 - 19y = -10 -19y = -ninety 5 y = 5 If y = 5 and x = 17 - 3y, then x = 17 - 3(5) = 2 (2,5) <==answer i desire that helps!! :-)

Answer 4

X + 3y = 17 and 5x - 4y = -10

x=17-3y 5(17-3y)-4y=-10
85-15y-4y=-10
85-19y=-10
-19y=-95
-5=y

x+3(-5)=17
x-15=17
x=2

Answer 5

x+3y=17(*)
5x-4y=-10

<=>5x+15y=85(1)
5x -4y=-10 (2)
(1)-(2)<=> 19y=95 <=> y=5
(8)=> x=2

Answer 6

x = 17 - 3y
5 (17 - 3y) - 4y = - 10
85 - 15 y - 4y = - 10
- 19 y = - 95
y = 5
x = 17 - 15
x = 2
Answer is x = 2 , y = 5

Answer 7

x=17 - 3y

Substitution:
5(17-3y) - 4y = -10
85 - 15y - 4y = -10
-19y=-95
y=5
x=2

Answer 8

x+3y= 17
x= 17-3y

5x-4y=-10
5( 17-3y)-4y=-10
85-15y-4y=-10
-19y=-95

y=5
x=2

Answer 9

x=17-3y
5x=85-15y
85-15y-4y=-10
19y=95
y=5