Calculate the solution to these simultaneous equations using the substitution method: (1)(1)𝑦y==4(𝑥+5)4(x+5) (2)(2)𝑥+𝑦x+y==00
Question
Calculate the solution to these simultaneous equations using the substitution method: (1)(1)𝑦y==4(𝑥+5)4(x+5) (2)(2)𝑥+𝑦x+y==00
Solution
Sure, let's solve these equations step by step:
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First, let's rewrite the first equation to isolate y: y = 4x + 20
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Now, we can substitute y from the first equation into the second equation: x + (4x + 20) = 0
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Simplify the equation: 5x + 20 = 0
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Solve for x: x = -20/5 = -4
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Substitute x = -4 into the first equation to find y: y = 4*(-4) + 20 = -16 + 20 = 4
So, the solution to the system of equations is x = -4 and y = 4.
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