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Solve algebraically 6a + b = 16 & 5a - 2b = 19

6a + b = 16 Equation 1 5a - 2b = 19 Equation 2 Scale up one equation so both equations have same coeffient of one variable ie 2 times Equ 1 12a + 2b = 32 5a - 2b = 19 Add variables of each equation, hence el...
EM
Answered by Euan M. • Maths tutor
3619 Views

Find the solutions to the quadratic equation x^2-9x+20=0

By factorising the expression, (x-5)(x-4)=0. This means that either (x-5)=0 or (x-4)=0. By solving these equations we can work out the solutions to be x=4,5.
CM
Answered by Chris M. • Maths tutor
3881 Views

ABCDEF is a regular hexagon (I will sketch this in the session). Find the angle DAF

What do we know about hexagons? They have six angles and vertices. The fact that the hexagon is regular implies that all interior angles are the same. We can split the hexagon up into six triangles. These tr...
JM
Answered by Jordan M. • Maths tutor
16017 Views

Solve the simultaneous equations 3x+5y=7, 2x-3y=11

Multiply the first equation by 2, and the second by 3: 6x+10y=14 6x-9y=33 Subtract the second from the first: 19y=-19 solve for y: y=-1 plug in to first equation and solve for x: 6x+10*(-1)=14 6x=24 x=4
JB
Answered by Jamie B. • Maths tutor
9761 Views

How do you check if a graph ever touches the x-axis?

At the x-axis, y is always zero at any point. If you want to fnd out whether or not a graph reaches the x-axis, then substitute y=0 into the equation and find the value of x. If it solves, then we know it do...
JC
Answered by Jawad C. • Maths tutor
19767 Views