Question

2y = 8 and \: 2x + 3y = 14" alt="x + 2y = 8 and \: 2x + 3y = 14" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

x = 4

y = 2

Step-by-step explanation:

by using substitution method ;

• x + 2y = 8
• x = 8 - 2y

now, in second equation ;

• 2x + 3y = 14
• 2 (8 - 2y) + 3y = 14

( since x = 8-2y, from equation 1 )

• 16 - 4y + 3y = 14
• 16 - y = 14
• -y = 14 - 16
• -y = -2
• y = 2

i hope it helped...

putting value of y in equation 1, we get :

• x + 2y = 8
• x + (2 × 2) = 8
• x + 4 = 8
• x = 8 - 4
• x = 4