Solve the system and graph the curves \begin{cases}x^{2}+3x-y+2=0 \\ y-5x=1 \end{cases}

Brittney Lord

Brittney Lord

Answered question

2021-08-15

Solve the system and graph the curves
{x2+3xy+2=0y5x=1

Answer & Explanation

averes8

averes8

Skilled2021-08-16Added 92 answers

Step 1
Given:
{x2+3xy+2=0 (1)y5x=1 (2)
From equation (2), we get
y=1+5x
Now put y=1+5x in equation (1), we get
 x2+3x(1+5x)+2=0
 x2+3x15x+2=0
 x22x+1=0
(x1)2=0
 x1=0
 x=1
Now put x=1 in equation (2), we get
y5(1)=1
 y5=1
 y=6
Therefore the solution is,
x=1 and y=6
Step 2
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