Question

solve using substitution method :- 8x+5y=9 and. 3x+2y=4

Answer 1

↑ Here is your answer ↓
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$8x+5y=9$

$8x = 9 - 5y$

$x = (9-5y)/8 --(1)$

$3x+2y=4 --(2)$

Sub (1) in (2)

$3((9-5y)/8) + 2y = 4$

$(27 - 15y)/8 + 2y = 4$

$(27 - 15y + 16y)/8 = 4$

$27+y = 32$

$y = 32-27$

$y=5$

Use (2) now

$3x+2y = 4$

$3x + 2(5) = 4$

$3x+10=4$

$3x=-6$

$x = -6/3$

$x=-2$

Answer 2

Heya...
8x+5y = 9--->(i)
3x +2y = 4
Using Substitution method---------------------------

From equation (i)
8x+5y= 9
8x = 9-5y
x = 9- 5y/8------->(iii)
Putting x = 9-5y/8 in equation (ii)

3x + 2y = 4
3( 9-5y/8)+2y = 4
27-15y+16y = 32
y = 5
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Putting y = 5 in equation (iii)
x = 9-5y/8
x = 9- 5(5)/8
x = 9- 25/8
x= -16/8
x = -2
So , y = 5 and x = -2

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