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Workbook 8A

Lesson 8.2: Solving Systems of Linear Equations by Substitution

Lesson 8.2: Solving Systems of Linear Equations by Substitution

Explore Your Understanding Assignment

l.

Solve and verify each of the following systems of linear equations.

t/\

'd. 5x-2y=-o an{2-r-y= r)2

Bx-Zt=r(,, + 6qr) ttb *(- ?) ' .-;.)"-""'*.

t

.,.=.,/

'+-"

\'\^\!

X ? -B \

5(-g)'?A* -6 -\O -Zt1 s -t - Zt-r. I

3Lr

-?

*l

1.rl) )= t3, - 1"?)

22

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ADLC Matftematics 10C

Lesson8.2:SolvingsysternsofUnearEquationsbySubstitrrtionWorkbook8A

O 5b'(2' *3Y=n'b'(t'-zY= rilt lox t \5,6 E 2lbt>

>H I l"t - ttt?

TT

t= lqj. hsLrBqSS 7x

* 5t lqs, kBt4shsb) = ! ja ?x -f 5g b.bL 9,*btLr e- tb? i r -Stp,5616R614 ll t"

Lx =-lq8,i63tttudr 2

"*

X:

-) Lr ' \8\8ltl

k,t)= (lt, t?l?r812 Itj,LrSlrS*,5q 23 ADLC Mathematics 10C

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Workbook 8A

Lesson 8.2: Solving Systems of Linear Equations by Substitution

2. Lena thinks she has found a shortcut for solving some lineax systems. Her solution to the system 4y = 3x * 7 and 9x* 4y - 139 = 0 is shown.

9x*4y-139:0 9x*3x*7- 139 = 0 lZx- 132:0 l?-tc:132

r= ll 4Y = 3x+7

4v=3(tt)+l 4Y: 40

y= 10 Is Lena's method correct?

Ye>

b. If Lena's method is correct, explain it. If it is incorrect describe her error.

+-(

ti t"*

c'lirr

fbl-* Fa^.",( +t,r,'l*

sluet

The numbers x andy have a sum of I and a difference of 11.

a. Write a system of equations to represent this information.

'X+ t=

I

X-t")?ll 24

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ADLC Mathematics 10C

y* ga ll Lesson 8.2: Solving Systems of Linear Equations by Substitution

@

f t tt S. t

Workbook 8A

b. Solve the system of equations to deterrrine the numbers.

X='l '-t

(l*'$ i $= it -Zg + ll = ll

*t r,.

=La a -

(*,1) c (a, $ ltL ADLC Mathematics 10C

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