The value of y is –3
Step 1
Equation obtained from the question.
4x² + 2y = 8 .............(1)
2x² = 7..... (2)
Step 2:
Determination of the value of x².
From equation 2,
[tex]2x^{2} = 7[/tex]
Divide both side by 2
[tex]x^{2} = \frac{7}{2}[/tex]
Step 3:
Determination of the value of y
From equation 1,
[tex]4x^{2} + 2y = 8\\ \\But\\\\x^{2} = \frac{7}{2}\\\\Thus\\\\4(\frac{7}{2}) + 2y = 8[/tex]
Clear bracket
[tex]14 + 2y = 8[/tex]
Collect like terms
Divide both side by 2
[tex]y = \frac{-6}{2}[/tex]
y = –3
Therefore, the value of y is –3
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